   Chapter 9.1, Problem 21E ### 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 → 3 x 2 − 9 x − 3

To determine

To calculate: The value of limx3x29x3.

Explanation

Given Information:

The provided limit is limx3x29x3.

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

The difference of squares of two number a and b:

a2b2=(a+b)(ab)

Calculation:

Consider the provided limit,

limx3x29x3

Simplify the limit by substituting 3 for x,

lim

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