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Chapter 14: Q. 35 (page 876)

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

limx鈫�0f(x),f(x)=x2ifx鈮�02xifx<0

Short Answer

Expert verified

Limit of function (at x=0) is 0

Step by step solution

01

Step1. Given information 

The given function limx鈫�0f(x),f(x)=x2ifx鈮�02xifx<0

02

Step2. calculation of limit points 

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

so according to the question, we can see in the pieces of both graphs when x is near 0, then y approach 0

Thus the limit of the given function is evaluated by 0

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Most popular questions from this chapter

In Problems 7鈥� 42, find each limit algebraically.

limx鈫�2x2-4x2-2x.

In Problems 43-52, find the limit as xapproaches cof the average rate of change of each function from cto x.

c=1;f(x)=1x

Name the trigonometric functions that have asymptotes.

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

limx鈫�2x3-2x2+4x-8x2+x-6

In Problems 7鈥� 42, find each limit algebraically

limx鈫�1(-3)
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