Chapter 9, Problem 11RE

### 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 7-20, find each limit, if it exists. 11.   lim x → 2 4 x 3 − 8 x 2 4 x 3 − 16 x

To determine

To calculate: The value of the limit limx24x38x24x316x.

Explanation

Given Information:

The provided limit is limxâ†’24x3âˆ’8x24x3âˆ’16x.

Formula used:

A limit limxâ†’cx can be simplified as,

limxâ†’cx=c

According to the property of difference of squares,

a2âˆ’b2=(a+b)(aâˆ’b)

Calculation:

Consider the provided limit,

limxâ†’24x3âˆ’8x24x3âˆ’16x

Simplify the limit by substituting 2 for x,

limxâ†’24x3âˆ’8x24x3âˆ’16x=4(2)3âˆ’8(2)24(2)3âˆ’16(2)=4(8)âˆ’8(4)4(8)âˆ’32=32âˆ’3232âˆ’32=00

Since, the limit has 00 indeterminate form at x=2

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