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Supplemental Exercises for Section 2.3
To better understand the formal deﬁnition of limit it is essential to use it to
prove some obvious limit statements. Prove each of the following obvious limit
statements using the formal deﬁnition of limit.
1. lim
x
→
3
x
+ 2 = 5
2. lim
x
→
5
x

3 = 2
3. lim
x
→
1
x

3 =

2
4. lim
x
→
2
x
+ 6 = 4
5. lim
x
→
4
x
+ 2 =

2
6. lim
x
→
3
2
x

4 = 2
7. lim
x
→
1
3
x

1 = 2
8. lim
x
→
2

3
x
+ 4 =

2
9. lim
x
→
1
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 Spring '10
 KIHYUNHYUN

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