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Question

Find the value of limxπ2sinxx


A

0

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B

π2

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C

2π

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D

limit does not exist

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Solution

The correct option is D

2π


This is a problem where we can use the direct substitution.

limxπ2sinxx=limxπ2sinxlimxπ2x=1π2
=2π

We are using the following idea here.
If limxaf(x) and limxag(x) exist, then
limxaf(x)g(x)=limxaf(x)limxag(x)


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