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Chapter 1: Q. 65 (page 136)

Calculate each of the limits:

limh鈫�0(1+h)3-13h.

Short Answer

Expert verified

The solution for the limitlimh鈫�0(1+h)3-13his,1.

Step by step solution

01

Step 1. Given Information.

The limit is,

limh鈫�0(1+h)3-13h.

02

Step 2. Finding the solution.

limh鈫�0(1+h)3-13h

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

=limh鈫�01+h3+3h+3h2-1h=limh鈫�0h3+3h2+hh=limh鈫�0(h2+3h+1)

Inputting h=0,

=02+3(0)+1=0+0+1=1

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