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Chapter 1: Q. 66 (page 136)

Calculate each of the limits:

limh鈫�0(-1+h)3-(-1)3h.

Short Answer

Expert verified

The solution for the limitlimh鈫�0(-1+h)3-(-1)3his,3

Step by step solution

01

Step 1. Given Information.

The limit is,

limh鈫�0(-1+h)3-(-1)3h.

02

Step 2. Finding the solution.

limh鈫�0(-1+h)3-(-1)3h

Using (a-b)3=a3-3a2b+3ab2-b3,

=limh鈫�0h3-3h2+3h-1-(-1)h=limh鈫�0h3-3h2+3h-1+1h=limh鈫�0h3-3h2+3hh=limh鈫�0(h2-3h+3)

Inputting h=0,

=(0)2-3(0)+3=0-0+3=3

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