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Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Evaluating Limits
Name___________________________________
Date________________ Period____
Evaluate each limit.
1) lim
x f
(
x)
, f(
x)
={
xx, x, x
x f(x)
2) lim
x
x
xx
x f(x)
3) lim
x f
(
x)
, f(
x)
={
, x, x 4) limx f
(
x)
, f(
x)
={
xx, x, x
5) lim
x
x
x 6) lim
x
x
xx
Critical thinking question:
7) Give an example of a limit of a rational function where the limit at 3 exists, but the function is undefined at 3.
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Evaluating Limits
Name___________________________________
Date________________ Period____
Evaluate each limit.
1) lim
x f
(
x)
, f(
x)
={
xx, x, x
x f(x)
2) lim
x
x
xx
x f(x)
3) lim
x f
(
x)
, f(
x)
={
, x, x
4) lim
x f
(
x)
, f(
x)
={
xx, x, x
5) lim
x
x
x
6) lim
x
x
xx
Critical thinking question:
7) Give an example of a limit of a rational function where the limit at 3 exists, but the function is undefined at 3.
Many answers. Ex: lim
x
x
x
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