Calculus/Limits/Exercises

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← Proofs of Some Basic Limit Rules Calculus Differentiation →
Limits/Exercises

Basic Limit Exercises[edit]

1.

2.

Solutions

One-Sided Limits[edit]

Evaluate the following limits or state that the limit does not exist.

3.

4.

5.

6.

The limit does not exist

Solutions

Two-Sided Limits[edit]

Evaluate the following limits or state that the limit does not exist.

7.

8.

The limit does not exist.

9.

The limit does not exist.

10.

11.

12.

13.

14.

15.

16.

The limit does not exist.

17.

18.

The limit does not exist.

19.

20.

21.

The limit does not exist.

22.

23.

24.

25.

26.

The limit does not exist.

Solutions

Limits to Infinity[edit]

Evaluate the following limits or state that the limit does not exist.

27.

28.

29.

30.

31.

32.

33.

34.

35.

36.

Solutions

Limits of Piecewise Functions[edit]

Evaluate the following limits or state that the limit does not exist.

37. Consider the function

a.

b.

c.

The limit does not exist

38. Consider the function

a.

b.

c.

d.

e.

f.

39. Consider the function

a.

b.

c.

d.

Solutions

External Links[edit]


← Proofs of Some Basic Limit Rules Calculus Differentiation →
Limits/Exercises