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Chapter 1: Q. 6 (page 148)

In Exercises 3鈥�6, limx鈫�cf(x)=Land limx鈫�cg(x)=Mfor some

real numbers L and M. What, if anything, can you say aboutlimx鈫�cf(x)g(x)in each case?

L=0andM=0.

Short Answer

Expert verified

limx鈫�cf(x)g(x)=0,It is zero.

Step by step solution

01

Step 1. Given Information.

The functions are limx鈫�cf(x)=Land limx鈫�cg(x)=M, Where L and M are real numbers.

L=0,M=0.

02

Step 2. Explanation.

Check limx鈫�cf(x)g(x).

We have L and M both zero.

So,

limx鈫�cf(x)g(x)=00=0

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