Calculus/Limits/Exercises

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

Basic Limit Exercises[edit | edit source]

1.
2.

Solutions

One-Sided Limits[edit | edit source]

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

3.
4.
5.
6.
The limit does not exist
The limit does not exist

Solutions

Two-Sided Limits[edit | edit source]

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

7.
8.
The limit does not exist.
The limit does not exist.
9.
The limit does not exist.
The limit does not exist.
10.
11.
12.
13.
14.
15.
16.
The limit does not exist.
The limit does not exist.
17.
18.
The limit does not exist.
The limit does not exist.
19.
20.
21.
The limit does not exist.
The limit does not exist.
22.
23.
24.
25.
26.
The limit does not exist.
The limit does not exist.

Solutions

Limits to Infinity[edit | edit source]

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 | edit source]

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

37. Consider the function

a.
b.
c.
The limit does not exist
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 | edit source]


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