Chapter 1: Q. 35 (page 88)

Consider the graph of the function:
Find the limits of function.

Short Answer

Expert verified

The limit is undefined.

Step by step solution

Step 1. Given graph

Step 2. Finding limits to the left x=-1

$Here the limit expression is : \lim_{x - > 1^{-}} g (x) F rom the graph, the functional value to the left o f x = - 1 i s g (x) = \infty Therefore, \lim_{x - > 1^{-}} g (x) = \infty$

Step 3. Finding limits to the right x=-1

$Here the limit expression is : \lim_{x - > 1^{+}} g (x) F rom the graph, the functional value to the left o f x = - 1 i s g (x) = - \infty Therefore, \lim_{x - > 1^{+}} g (x) = - \infty$

Step 4. Finding limits to the point

$Here the limit expression is : \lim_{x - > 1} g (x) F rom the graph, the functional value to the left o f x = - 1 i s g (x) = n o v a l u e Therefore, \lim_{x - > 1^{}} g (x) = no value hence the limit is undefined$

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Consider the graph of the function:
Find the limits of function.

Short Answer

Step by step solution

Step 1. Given graph

Step 2. Finding limits to the left x=-1

Step 3. Finding limits to the right x=-1

Step 4. Finding limits to the point

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Consider the graph of the function:Find the limits of function.

Short Answer

Step by step solution

Step 1. Given graph

Step 2. Finding limits to the left x=-1

Step 3. Finding limits to the right x=-1

Step 4. Finding limits to the point

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Calculus

Theoretical and Mathematical Physics

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Consider the graph of the function:
Find the limits of function.