Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +

Page 1 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=1' data-page='1' class='cut-thumb lazyload' alt='Page 1: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/1.jpg' width='140' height='200' /> Calculus: Limits and

Asymptotes

Notes, examples, & practice quiz (with solutions)

Topics include definitions, greatest integer function, strategies, infinity,

slant asymptote, squeeze theorem, and more.

Mathplane.com

Page 2 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=2' data-page='2' class='cut-thumb lazyload' alt='Page 2: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/2.jpg' width='140' height='200' /> Page 3 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=3' data-page='3' class='cut-thumb lazyload' alt='Page 3: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/3.jpg' width='140' height='200' /> Page 4 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=4' data-page='4' class='cut-thumb lazyload' alt='Page 4: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/4.jpg' width='140' height='200' /> Page 5 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=5' data-page='5' class='cut-thumb lazyload' alt='Page 5: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/5.jpg' width='140' height='200' /> Page 6 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=6' data-page='6' class='cut-thumb lazyload' alt='Page 6: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/6.jpg' width='140' height='200' /> Page 7 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=7' data-page='7' class='cut-thumb lazyload' alt='Page 7: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/7.jpg' width='140' height='200' /> Page 8 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=8' data-page='8' class='cut-thumb lazyload' alt='Page 8: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/8.jpg' width='140' height='200' /> Page 9 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=9' data-page='9' class='cut-thumb lazyload' alt='Page 9: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/9.jpg' width='140' height='200' /> Page 10 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=10' data-page='10' class='cut-thumb lazyload' alt='Page 10: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/10.jpg' width='140' height='200' /> Page 11 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=11' data-page='11' class='cut-thumb lazyload' alt='Page 11: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/11.jpg' width='140' height='200' /> Page 12 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=12' data-page='12' class='cut-thumb lazyload' alt='Page 12: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/12.jpg' width='140' height='200' /> PRACTICE QUIZ

Page 13 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=13' data-page='13' class='cut-thumb lazyload' alt='Page 13: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/13.jpg' width='140' height='200' /> Page 14 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=14' data-page='14' class='cut-thumb lazyload' alt='Page 14: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/14.jpg' width='140' height='200' /> Page 15 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=15' data-page='15' class='cut-thumb lazyload' alt='Page 15: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/15.jpg' width='140' height='200' /> Page 16 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=16' data-page='16' class='cut-thumb lazyload' alt='Page 16: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/16.jpg' width='140' height='200' /> SOLUTIONS-

Page 17 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=17' data-page='17' class='cut-thumb lazyload' alt='Page 17: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/17.jpg' width='140' height='200' /> Page 18 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=18' data-page='18' class='cut-thumb lazyload' alt='Page 18: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/18.jpg' width='140' height='200' /> Page 19 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=19' data-page='19' class='cut-thumb lazyload' alt='Page 19: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/19.jpg' width='140' height='200' /> Page 20 <img data-url='document/calculus-limits-and-asymptotes-math-2016-5-11-finding-limits-examples-1.html?page=20' data-page='20' class='cut-thumb lazyload' alt='Page 20: Calculus: Limits and Asymptotes - Math Planemathplane.com/.../docs/Limits_and_Asymptotes.130194434.pdf · 2016. 5. 11. · Finding Limits: Examples 1) "Plug in the Number" lim 1 +' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071408/60ffcc1bc8a0294d4c10c0a1/html5/thumbnails/20.jpg' width='140' height='200' /> Thanks for visiting. (Hope it helped!)