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Question

limx0ex2cosxsin2x is equal to :

A
2
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B
32
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C
3
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D
54
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Solution

The correct option is D 32
limx0ex2cosxsin2x

=limx0ex2cosxx2(sinxx)2=limx01+x2+x42!(1x22!+x44!..)x2(sinxx)2=1+12!=32

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