2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 1pt Hole-y Limits! Trig or Treat! Give Piece.

2 pt

3 pt

4 pt

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1 pt

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3 pt

4 pt

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Hole-y Limits!Trig

or Treat!Give PieceA Chance!

Infinitely Yours…Potpourri

5 pt.

limx 2

x 7 3

x 2

1

6

limx

1

2

6x 2 5x 4

2x 1

11

2

limx 4

x 3 64

x 4

48

limx 6

1

x 3

2

xx 6

1

18

limx 0

1

1 x 1

x

1

2

limx

1 cos x

x

2

limx 0

3sin5x

7x

15

7

limx

2sin x cos x

x

0

lim

2

cot 2csc 1

2

limx 0

cos2 x 2sin x 1

x

2

limx 2

x 2 5, x 2

x 1,x 2

DNE L R

limx 3

5x 1,x 3

x 4, x 3

1

f (x) 3x 5, x a

10x 9, x a

Find the value(s) of a that make f continuous:

2

Find the value(s) of k that make f continuous:

f (x) x 2 4x 21

x 7x 7

2k 5,x 7

15

2

Find the values of a and b that make f continuous:

f (x) ax 8,x 4

2x 2b, 4 x a

5x 3b 7,x a

a 3

b 14

limx 5

x 2 6x 5

x 2 25

DNE

limx1

x 2 x 6

x 1

DNE

limh 0

f (x h) f (x)

h

Given:

Find:

f (x) 3x 2 5x 4

6x 5

limx 2

( x 4)

1

Find the value(s) of k that make f continuous:

f (x) 2k x 2,x 0sin12x

3x, x 0

2

limx

10x 3x 2

5x 2 8

3

5

limx

x 2 4 x

7 x

DNE()

limx

10x 3x 2

5x 3 8

0

limx

7x5

2 4x 2

3x 2 8

DNE()

limx

7 4x

3x 2 8

4

3