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Chapter 14: Q. 40 (page 876)

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�0f(x),f(x)=1ifx<0-1ifx>0

Short Answer

Expert verified

limit of function doesn't exist

Step by step solution

01

Step1. Given information 

The given functionlimx鈫�0f(x),f(x)=1ifx<0-1ifx>0

02

Step2. Calculating the limit of the given function 

To find the limit we have to draw the graph of its


We know that at the limit point as x-factor is near to limit points so that time y tends to a specific value, that specific value is the value of the function at the limit point

According to the question when x is near 0

the first segment of the graph is near 1 but the second segment tends to be -1

The value of both parts of the graph is different at the same value, so on this value limit of the given function doesn't exist

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Most popular questions from this chapter

In Problems 13鈥�32, use the accompanying graph of y=f(x).

What is the domain of f?

Graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�2f(x),f(x)=1-x2

In Problems 45-60, determine whether fis continuous at c.

f(x)=x3-3x2+2x-6,c=2

True or False The limit of a polynomial function as xapproaches 5equals the value of the polynomial at 5

Use a graphing utility to find the indicated limit rounded to two decimal places.

limx鈫�-1x3+2x2+xx4+x3+2x+2
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