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Chapter 14: Q. 10 (page 883)

In Problems 7鈥� 42, find each limit algebraically

limx鈫�-3x

Short Answer

Expert verified

The value of the limitlimx鈫�-3x=-3

Step by step solution

01

Step 1. Given Information

The given limit and the functionlimx鈫�-3x

We need to find the value of the limit

02

Step 2. Value of the limit

We know,

limx鈫�cf(x)=limx鈫�cx=c

wheref(x)=xis an identity function

Therefore,

limx鈫�-3x=-3.

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Most popular questions from this chapter

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

limx鈫�1x2+13

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

limx鈫�0f(x),f(x)=exifx>01-xifx鈮�0

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

In Problems 7鈥�16, use a table to find the indicated limit.

10.limx鈫�02-xx2+4.

In Problems 53-56, use the properties of limits and the facts that

limx鈫�0sinxx=1limx鈫�0cosx-1x=1limx鈫�0sinx=0limx鈫�0cosx=1

limx鈫�03sinx+cosx-14x
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