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Chapter 1: Q. 19 (page 153)

Limits of basic functions: Fill in the blanks to complete the limit rules that follow. You may assume that k is positive.

limx鈫�0sinxx=_______

Short Answer

Expert verified

The value of the limit islimx鈫�0sinxx=1.

Step by step solution

01

Step 1. Given Information.  

The given limit function islimx鈫�0sinxx.

02

Step 2. Filling the blank.

To fill in the blank, apply L'Hopital's Rule.

So,

limx鈫�0sinxx=limx鈫�0cosx1

Put the value of x=0

=cos01=1

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