The value of the lim x → 0 f ( x )

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 2.2, Problem 4E

a.

To determine

To find: The value of the limx→0f(x)

Expert Solution

.limx0f(x)=3

Explanation of Solution

Given information:

Given graph is,

Consider the given graph as,

Now, from the given graph limx0f(x)=3

b.

To determine

To find: The value of the limx→3−f(x)

Expert Solution

.limx3f(x)3.999

Explanation of Solution

Given information:

Given graph is,

Consider the given graph as,

Now, from the given graph limx3f(x)3.999

c.

To determine

To find: The value of the limx→3+f(x)

Expert Solution

.limx3+f(x)1.999

Explanation of Solution

Given information:

Given graph is,

Consider the given graph as,

Now, from the given graph limx3+f(x)1.999

d.

To determine

To find: The value of the limx→3f(x)

Expert Solution

.limx3f(x) does not exist.

Explanation of Solution

Given information:

Given graph is,

Consider the given graph as,

Since, left hand limit of the function and right hand limit of the function at x=3 are not equal.

Hence, limx3f(x) does not exist.

e.

To determine

Expert Solution

.f(3)=3

Explanation of Solution

Given information:

Given graph is,

Consider the given graph as,

Now, from the given graph f(3)=3

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