# The value of the lim t → 0 − g ( t ) ### 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 5E

a.

To determine

## To find: The value of the limt→0−g(t)

Expert Solution

.limt0g(t)=0.999

### Explanation of Solution

Given information:

Given graph is, Consider the given graph as, Now, from the given graph limt0g(t)=0.999

b.

To determine

### To find: The value of the limt→0+g(t)

Expert Solution

.limt0+g(t)=1.999

### Explanation of Solution

Given information:

Given graph is, Consider the given graph as, Now, from the given graph limt0+g(t)=1.999

c.

To determine

### To find: The value of the limt→0g(t)

Expert Solution

.limt0g(t) does not exist.

### Explanation of Solution

Given information:

Given graph is, Consider the given graph as, Since, right hand limit and left hand limit of the function at t=0 are not equal.

Hence, limt0g(t) does not exist.

d.

To determine

### To find: The value of the limt→2−g(t)

Expert Solution

.limt2g(t)=1.999

### Explanation of Solution

Given information:

Given graph is, Consider the given graph as, From the graph, this is clear that limt2g(t)=1.999

e.

To determine

### To find: The value of the limt→2+g(t)

Expert Solution

limt2+g(t)=0.111

### Explanation of Solution

Given information:

Given graph is, Consider the given graph as, Now, from the given graph limt2+g(t)=0.111

f.

To determine

### To find: The value of the limt→2g(t)

Expert Solution

.limt2g(t) does not exist.

### Explanation of Solution

Given information:

Given graph is, Consider the given graph as, Since, right hand limit and left hand limit of the function at t=2 are not equal.

Hence, limt2g(t) does not exist.

g.

To determine

Expert Solution

g(2)=1

### Explanation of Solution

Given information:

Given graph is, Consider the given graph as, From the graph this is clear that g(2)=1

h.

To determine

Expert Solution

limt4g(t)=3

### Explanation of Solution

Given information:

Given graph is, Consider the given graph as, From the graph this is clear that limt4g(t)=3

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