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Question

The value of limxo12(1cos2x)x

A
1
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B
-1
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C
0
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D
none of these
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Solution

The correct option is A 1
limx012(1cos2x)x
=limx012(1(12sin2x))x
=limx012(11+2sin2x)x
=limx012(2sin2x)x
=limx0sin2xx
=limx0sinxx
=1(limx0sinxx=1)


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