Mathematics (M101) Sequence and Series B.Tech 1st Year 1st Semester Sequence Definition: An Infinite sequence is a function f(n) whose domain is an infinite subset of whole…

Slide 1 Slide 2 The Fundamental Theorem of Calculus Calculus was developed by the work of several mathematicians from the 17th to 18th century Newton and Leibniz (Gottfried)…

Slide 11 Evaluating Limits Analytically Section 1.3 Slide 2 2 After this lesson, you will be able to: evaluate a limit using the properties of limits develop and use a strategy…

1. Section 12.1–12.2Double Integrals over Rectangles Iterated Integrals Math 21a March 17, 2008 Announcements ◮Office hours Tuesday, Wednesday 2–4pm SC 323 ◮Problem…

1. Section 12.3 Double Integrals over General Regions Math 21a March 19, 2008 Announcements ◮Office hours Tuesday, Wednesday 2–4pm SC 323 ◮Problem Sessions: Mon, 8:30;…

1. Contents: Review *Functions *Zeno *Mathematicians *Real Number System *Inequality *Interval Notation Limits Derivatives Product and Quotient Rule Types of Infinity 2.…

1. 1.3 Evaluating Limits Analytically 594 J J. §‘_’f= .l, ll. l=. i,TlI, l§l ..I. fii>§‘»…

CHAPTER 2 LIMITS AND CONTINUITY 2.1 RATE OF CHANGE AND LIMITS 1. (a) Does not exist. As x approaches 1 from the right, g(x) approaches 0. As x approaches 1 from the left,…

Slide 1 Consider each of the following functions: f(x) = |x – 1| / (x – 1) g(x) = (1 – x) / (1 –  x) The domain for each function includes {x | x  1, x …

Problem of the Day No calculator! If f(x) = ln x for 0 < x < 2 x2 ln 2 for 2 < x < 4 { then lim f(x) is xâ2 A) ln 2 C) ln 16 E) nonexistent B) ln 8 D) 4 Problem…