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Chapter 1: Q. 24 (page 88)

Sketch the graphs of functions that have the given limits and values. (There are multiple correct answers.)

limx→5− f(x)=3andlimx→5+ f(x)=1

Short Answer

Expert verified

We have been given the limits and their values for a function:

limx→5− f(x)=3andlimx→5+ f(x)=1

We have to sketch the graph of this function.

Step by step solution

01

Step 1. Given information.

We have been given the limits and their values for a function:

limx→5− f(x)=3andlimx→5+ f(x)=1

We have to sketch the graph of this function.

02

Step 2. Graph the function  

The graph is :

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Most popular questions from this chapter

Each function in Exercises 9–12 is discontinuous at some value x = c. Describe the type of discontinuity and any one-sided continuity at x = c, and sketch a possible graph of f.

limx→-1-f(x)=2,limx→-1+f(x)=2,f(-1)=1.

State what it means for a function f to be right continuous at a point x = c, in terms of the delta–epsilon definition of limit.

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Calculate each of the limits:

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State what it means for a functionf to be continuous at a point x = c, in terms of the delta–epsilon definition of limit.
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