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Chapter 1: Q. 22 (page 87)

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

limx鈫�2鈥�f(x)=鈭�4andlimx鈫�鈭�鈭�鈥�f(x)=鈭�鈭�

Short Answer

Expert verified

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

limx鈫�2鈥�f(x)=鈭�4andlimx鈫�鈭�鈭�鈥�f(x)=鈭�鈭�

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鈫�2鈥�f(x)=鈭�4andlimx鈫�鈭�鈭�鈥�f(x)=鈭�鈭�

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

Write each of the inequalities in interval notation:

0<|x-2|<0.1

Calculate each of the limits:

limh鈫�0(3+h)2-32h.

Write delta-epsilon proofs for each of the limit statements limx鈫�cfx=Lin Exercises 47-60.

limx鈫�23-4x=-5.

Sketch a labeled graph of a function that satisfies the hypothesis of the Intermediate Value Theorem, and illustrate on your graph that the conclusion of the Intermediate Value Theorem follows.

Calculate each of the limits:

limx鈫�01sec-1x.
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