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Chapter 14: Q. 12 (page 883)

In Problems 7鈥� 42, find each limit algebraically

limx鈫�4(-3x)

Short Answer

Expert verified

The value of the limitlimx鈫�4(-3x)=-12

Step by step solution

01

Step 1. Given Information

The given limit and the function islimx鈫�4(-3x)

We need to find the given limit.

02

Step 2. Expanding the limit 

We know,

limx鈫�cf(x)路g(x)=limx鈫�cf(x)limx鈫�cg(x)

Therefore,

role="math" localid="1646939599725" limx鈫�4(-3x)=limx鈫�4(-3)limx鈫�4x

03

Step 3. Applying limits

The obtained expression is

limx鈫�4(-3x)=limx鈫�4(-3)limx鈫�4x

=[-3][4]=-12

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