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Limits Evaluating Functions Graphically I
Worksheet
1
Evaluating Limits Graphically I Use the graph below to evaluate the following limits:
1. lim
$→&'(𝑓(𝑥) = 2. lim
$→&'.𝑓(𝑥) = 3. lim
$→&'𝑓(𝑥) =
4. 𝑓 −3 = 5. lim$→1(
𝑓(𝑥) = 6. lim$→1.
𝑓(𝑥) =
7. lim$→1
𝑓(𝑥) = 8. 𝑓(5) = 9. lim$→&3(
𝑓(𝑥) =
10. lim$→&3.
𝑓(𝑥) = 11. lim$→&3
𝑓(𝑥) = 12. 𝑓(−1) =
13. lim$→5(
𝑓(𝑥) = 14. lim$→5.
𝑓(𝑥) = 15. lim$→5
𝑓(𝑥) =
16. 𝑓 2 = 17. lim$→78
𝑓(𝑥) = 18. lim$→&8
𝑓(𝑥) =
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Limits Evaluating Functions Graphically I
Worksheet
2
Evaluating Limits Graphically I Use the graph below to evaluate the following limits:
1. lim$→&9(
𝑓(𝑥) = 2. lim$→&9.
𝑓(𝑥) = 3. lim$→&9
𝑓(𝑥) =
4. 𝑓 −6 = 5. lim$→&;(
𝑓(𝑥) = 6. lim$→&;.
𝑓(𝑥) =
7. lim$→&;
𝑓(𝑥) = 8. 𝑓(−4) = 9. lim$→&3(
𝑓(𝑥) =
10. lim$→&3.
𝑓(𝑥) = 11. lim$→&3
𝑓(𝑥) = 12. 𝑓(−1) =
13. lim$→&5(
𝑓(𝑥) = 14. lim$→&5.
𝑓(𝑥) = 15. lim$→&5
𝑓(𝑥) =
16. 𝑓 −2 = 17. lim$→78
𝑓(𝑥) = 18. lim$→&8
𝑓(𝑥) =
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Limits Evaluating Functions Graphically II
Worksheet
3
Evaluating Limits Graphically II Evaluate the following limits by considering its graph:
1. lim$→=(
𝑥 = b) lim$→=.
𝑥 = c) lim$→=
𝑥 =
2. lim$→=(
1𝑥 =
b) lim$→=.
1𝑥 =
c) lim$→8
1𝑥 =
3. lim$→=
𝑥 − 22𝑥 + 1 =
b) lim$→&3/5(
𝑥 − 22𝑥 + 1 =
c) lim$→&3/5.
𝑥 − 22𝑥 + 1 =
d) lim$→5
𝑥 − 22𝑥 + 1 =
e) lim$→&8
𝑥 − 22𝑥 + 1
f) lim$→8
𝑥 − 22𝑥 + 1
4. lim$→=(
1𝑥5 =
b) lim$→=.
1𝑥5 =
c) lim$→=
1𝑥5 =
5. lim$→3
1𝑥5 − 1 =
b) lim$→&3
1𝑥5 − 1 =
c) lim$→8
1𝑥5 − 1 =
6. lim$→=
sin 𝑥 = b) lim$→=
cos 𝑥 = c) lim$→8
sin 𝑥 =
7. lim$→8
(𝑥 − 3); − 1 = b) lim$→&8
(𝑥 − 3); − 1 = c) lim$→5
(𝑥 − 3); − 1 =
8. lim$→8
−𝑥5 𝑥 − 1 ' b) lim$→&8
−𝑥5 𝑥 − 1 ' c) lim$→3
−𝑥5 𝑥 − 1 '
9. lim$→8
2$ = b) lim$→&8
2$ = c) lim$→8
12
$
=
10. lim$→=.
log 𝑥 = b) lim$→=(
log 𝑥 = c) lim$→3
log 𝑥 =
11. lim$→=
tan 𝑥 = b) lim$→G/5.
tan 𝑥 = c) lim$→&G/5(
tan 𝑥 =
