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Chapter 1: Q. 17 (page 87)

Sketch a function that has the following table of values, but whose limit as x 鈫� 2 does not exist:

Short Answer

Expert verified

The graph is :

Step by step solution

01

Step 1. Given information. 

We have been given a table of values:

Also, limit as x鈫�2does not exist.

We have to sketch this function.

02

Step 2. Sketch the graph.

The graph is :

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Most popular questions from this chapter

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

limx鈫�1x2-1x-1=2

Use the delta-epsilon definition of continuity to argue that f is or is not continuous at the indicated point x=c.

f(x)=2鈭�x,鈥呪赌呪赌呪赌�ifxrationalx2,鈥呪赌呪赌呪赌�ifxirrational,c=2

Write each of the inequalities in interval notation:

x2-1+3<0.5

For each limit in Exercises 33鈥�38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.

limx鈫�0x-3.

Each function in Exercises 9鈥�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鈫�-1-f(x)=2,limx鈫�-1+f(x)=2,f(-1)=1.
See all solutions

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