   Chapter 9, Problem 19RE Mathematical Applications for the ...

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

Solutions

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. lim h → 0 3 ( x + h ) 2 − 3 x 2 h

To determine

To calculate: The value of the limit limh03(x+h)23x2h.

Explanation

Given Information:

The provided limit is limh03(x+h)23x2h.

Formula used:

A limit limxcx can be simplified as,

limxcx=c

The property of square of sum of two terms a and b states that,

(a+b)2=a2+b2+2ab

Calculation:

Consider the provided limit,

limh03(x+h)23x2h

Rewrite the limit using the property of square of sum of two terms,

limh03(x+h)23x2h=limh03(x2+h2+2xh)3x2h

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