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Chapter 1: Q. 5 (page 148)

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

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

Short Answer

Expert verified

limx鈫�cf(x)g(x)=鈭�, It is infinite.

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 such asL鈮�0andM=0.

02

Step 2. Explanation

Check limx鈫�cf(x)g(x).

We have L is non-zero real number and M is zero.

So,

limx鈫�cf(x)g(x)=L0=鈭�

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