01 - limits by direct evaluation

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Kuta Software - Infinite Calculus Name___________________________________

Period____Date________________Evaluating LimitsEvaluate each limit.

1)

lim

x15 2)

lim

x

52

(

x + 2)

3)

lim

x2(

x3

x2 4)4)

lim

x1 (

x2

2 + 2

x + 4)

5)

lim

x3

x + 3 6)

lim

x

32

2

x + 4

7)

lim

x1

x 4

x2 6

x + 88)

lim

x

32

x 3

x2 +

x + 1

9)

lim

x

pi

sin

(

x) 10)

lim

x

3

pi

4

2cos

(

x)

Critical thinking questions:

11) Give an example of a limit that evaluates to 4. 12) Give an example of a limit of a quadraticfunction where the limit evaluates to 9.

w X2k0T1O3C DKbu4taaD 3SBo6fLtSwlavrCei MLJLrCG.E T iAmlUld KrSiGg4hhtFsc 3rCe7soeQrwvReOdr.V S oMMasdpeF fwzimtCho UI0n0fziln6iet7ek cCLamltcmuZl3uSsk.g Worksheet by Kuta Software LLC

Kuta Software - Infinite Calculus Name___________________________________

Period____Date________________Evaluating LimitsEvaluate each limit.

1)

lim

x15

5

2)

lim

x

52

(

x + 2)

92

3)

lim

x2(

x3

x2 4)0

4)

lim

x1 (

x2

2 + 2

x + 4)

112

5)

lim

x3

x + 3

6

6)

lim

x

32

2

x + 4

7

7)

lim

x1

x 4

x2 6

x + 8

1

8)

lim

x

32

x 3

x2 +

x + 1

1819

9)

lim

x

pi

sin

(

x)0

10)

lim

x

3

pi

4

2cos

(

x)

2

Critical thinking questions:

11) Give an example of a limit that evaluates to 4.Many answers. Ex:

lim

x4

x

12) Give an example of a limit of a quadraticfunction where the limit evaluates to 9.Many answers. Ex:

lim

x3

x2

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