   Chapter 9.1, Problem 8CP ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 7-10, assume that f, g, and h are polynomials.Does lim x → c g ( x ) h ( x ) = g ( c ) h ( c ) ?

To determine

Whether the equation, limxcg(x)h(x)=g(c)h(c), is correct.

Explanation

Given Information:

The limit, limxcg(x)h(x)=g(c)h(c).

Explanation:

Consider the provided equation,

limxcg(x)h(x)=g(c)h(c)

For a rational function, if limxcf(x)=L and limxcg(x)=M, then,

limxcf(x)g(x)=LM

This is true when M0

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