Practice
Section 2.1 Day 3
Name: ____________________________________
Evaluate each limit, if it exists.
𝑡 2 −9
1. lim
𝑡→−3
3. lim
2𝑡 2 +7𝑡+3
(2+ℎ)3 −8
ℎ
ℎ→0
5. lim
1 1
+
4 𝑥
𝑥→−4 4+𝑥
7. lim
ℎ→0
√1+ℎ−1
ℎ
2. lim
𝑥+2
𝑥→−2 𝑥 3 +8
1
1
4. lim ( 𝑡 − 𝑡 2 +𝑡)
𝑡→0
6. lim
ℎ→0
8. lim
𝑥→7
(3+ℎ)−1 −3−1
ℎ
√𝑥+2−3
𝑥−7
9. lim
4−√𝑥
11. lim
𝑥+sin 𝑥
13. lim
sin 2𝑥
14. lim
tan 2𝑥
𝑥→16 16𝑥−𝑥 2
𝑥→0
𝑥→0
𝑥→0
𝑥
𝑥
𝑥
sin 𝑥
10. lim 2𝑥 2 −𝑥
𝑥→0
12. lim
𝑥→0
13. lim 𝑥 csc 𝑥
𝑥→0
(sin 𝑥)2
𝑥