Short Answer

In Problems 13–32, use the accompanying graph of y = f(x).
Find $\lim_{x \to 2^{-}} f (x)$ .

The answer is 1.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step. 1 Given

We are given with a graph and the in the limit x tends to 2 from left side.

Step. 2 Solving the limits

When we have the graph and we want to calculate the limit then we have to trace the graph from that direction whose side limit we want to find i.e., if we have to find Left hand limit then we start tracing the graph from left side and similarly if we have to find Right hand limit then we start tracing the graph from right side at that point at which we have to find the limit.

In this question we are required to find Left hand limit at $x = 2$ so we start tracing the graph and we see that as x approaches 2 from left side the value of y decreases and goes to $y = 1$ .

Therefore,

$\lim_{x \to 2^{-}} f (x) = 1 .$

Find Study Materials for

Create Study Materials

Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In Problems 13–32, use the accompanying graph of y = f(x).
Find $\lim_{x \to 2^{-}} f (x)$ .

Step by Step Solution

Step. 1 Given

Step. 2 Solving the limits

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In Problems 13–32, use the accompanying graph of y = f(x). Find limx→2-f(x).

Step by Step Solution

Step. 1 Given

Step. 2 Solving the limits

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Pure Maths

In Problems 13–32, use the accompanying graph of y = f(x).
Find $\lim_{x \to 2^{-}} f (x)$ .