   Chapter 9.1, Problem 52E ### 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

# If lim x → 5 [ f ( x ) − g ( x ) ] = 8 and lim x → 5 g ( x ) = 2 , find(a) lim x → 5 f ( x ) (b) lim x → 5 { [ g ( x ) ] 2 − f ( x ) } (c) lim x → 5 [ 2 x g ( x ) 4 − f ( x ) ]

(a)

To determine

To calculate: The value of limx5f(x), if limx5[f(x)g(x)]=8 and limx5g(x)=2.

Explanation

Given Information:

The provided values are limx5[f(x)g(x)]=8 and limx5g(x)=2.

The expression is limx5f(x).

Formula used:

According to the properties of limits,

limxc[f(x)±g(x)]=limxcf(x)±limxcg(x)

Calculation:

Consider the provided expression.

limx5f(x)

Apply the property of limits,

limx5[f(x

(b)

To determine

To calculate: The value of limx5[[g(x)]2f(x)], if limx5[f(x)g(x)]=8 and limx5g(x)=2.

(c)

To determine

To calculate: The value of limx52xg(x)4f(x), if limx5[f(x)g(x)]=8 and limx5g(x)=2.

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