   Chapter 9.1, Problem 24E ### 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 → − 5 x 2 + 8 x + 15 x 2 + 5 x

To determine

To calculate: The value of limx5x2+8x+15x2+5x.

Explanation

Given Information:

The provided limit is limx5x2+8x+15x2+5x.

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,

limx5x2+8x+15x2+5x

Simplify the limit by substituting 5 for x,

limx5x2+8x+15x2+5x=(5)2+8(5)+15(5)2+5(5)=2540+152525=00

The provide limit has 00 indeterminate form at x=5

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