Chapter 9.1, Problem 23E

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
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 limxâ†’âˆ’5x2+8x+15x2+5x.

Formula used:

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

limxâ†’ch(x)=limxâ†’cf(x)g(x)=f(c)g(c)

Here g(c)â‰ 0

Calculation:

Consider the provided limit,

limxâ†’âˆ’5x2+8x+15x2+5x

Simplify the limit by substituting âˆ’5 for x,

limxâ†’âˆ’5x2+8x+15x2+5x=(âˆ’5)2+8(âˆ’5)+15(âˆ’5)2+5(âˆ’5)=25âˆ’40+1525âˆ’25=00

The provide limit has 00 indeterminate form at x=âˆ’5

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