Kuta Software - Infinite Calculus
Name___________________________________
Evaluating Limits
Date________________ Period____
Evaluate each limit.
2) lim (− x + 2)
1) lim 5
x → −1
x→−
5
2
3) lim ( x 3 − x 2 − 4)
x2
4) lim −
+ 2x + 4
x→1
2
5) lim −
6) lim − 2 x + 4
x→2
x+3
x→3
(
x→
7) lim −
x→1
x−4
x2 − 6x + 8
9) lim sin ( x)
x→π
3
2
−x − 3
8) lim
x→
)
3
2
2
x +x+1
10) lim 2cos ( x)
x→
3π
4
Critical thinking questions:
11) Give an example of a limit that evaluates to 4.
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12) Give an example of a limit of a quadratic
function where the limit evaluates to 9.
Worksheet by Kuta Software LLC
Kuta Software - Infinite Calculus
Name___________________________________
Evaluating Limits
Date________________ Period____
Evaluate each limit.
2) lim (− x + 2)
1) lim 5
x → −1
x→−
5
2
5
9
2
3) lim ( x 3 − x 2 − 4)
x2
4) lim −
+ 2x + 4
x→1
2
(
x→2
0
)
11
2
5) lim −
x+3
6) lim − 2 x + 4
x→3
x→
3
2
− 6
− 7
7) lim −
x→1
x−4
x2 − 6x + 8
−x − 3
8) lim
x→
3
2
1
−
9) lim sin ( x)
2
x +x+1
18
19
10) lim 2cos ( x)
x→π
x→
3π
4
0
− 2
Critical thinking questions:
11) Give an example of a limit that evaluates to 4.
Many answers. Ex: lim x
x→4
12) Give an example of a limit of a quadratic
function where the limit evaluates to 9.
Many answers. Ex: lim x 2
x→3
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Worksheet by Kuta Software LLC