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Question

limx0 1cos2x2x is

(JEE 2002)


A

1

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B

-1

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C

Zero

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D

Does not exist

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Solution

The correct option is D

Does not exist


limx01cos2x2x=limx01(12sin2x)2x;
limx02sin2x2x=limx0|sin x|x

The limit of above does not exist as LHS = -1 RHL = 1


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