Chapter 1: Q. 34 (page 88)

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

Short Answer

Expert verified

The limit of the function is 2.

Step by step solution

Step 1. Given Graph

Step 2. Finding limits to the left

$Here the limit expression is : \lim_{x - > 0^{-}} f (x) From the graph, the functional value to the left of x = 0 I s f (x) = 2 Therefore, \lim_{x - > 0^{-}} f (x) = 2 .$

Step 3. Finding limits to the right

$Here the limit expression is : \lim_{x - > 1} f (x) From the graph, the functional value to the right of x = 1 Is f (x) = 1 Therefore, \lim_{x - > 1} f (x) = 1 .$

Step 4. Finding limits to the points

$Here the limit expression is : \lim_{x - > \infty} f (x) From the graph, the functional valueof x = \infty i s f (x) = 1 Therefore, \lim_{x - > \infty} f (x) = 1 . Hence limit of the function is 2$

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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

Step 3. Finding limits to the right

Step 4. Finding limits to the points

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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

Step 3. Finding limits to the right

Step 4. Finding limits to the points

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Applied Mathematics

Statistics

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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