   Chapter 9.1, Problem 23E ### 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 15-40, use properties of limits and algebraic methods to find the limits, if they exist. lim x → 7 x 2 − 8 x + 7 x 2 − 6 x − 7

To determine

To calculate: The value of limx7x28x+7x26x7.

Explanation

Given Information:

The provided limit is limx7x28x+7x26x7.

Formula used:

For a rational function h(x)=f(x)g(x) where f(x) and g(x) are polynomial function,

limxch(x)=limxcf(x)g(x)=f(c)g(c)

Here g(c)0

Calculation:

Consider the provided limit,

limx7x28x+7x26x7

Simplify the limit by substituting 7 for x,

limx7x28x+7x26x7=728(7)+7(7)26(7)7=4956+749427=00

The provided limit has 00 indeterminate form at x=7

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