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Question

limx02sinxsin2xx3 is equal to

A
1
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B
1
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C
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does not exist
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Solution

The correct option is A 1
limx02sinxsin2xx3
=limx02sinx(1cosx)(1+cosx)x3(1+cosx)
=limx02sin3xx3×11+cosx
=2×(1)3×11+1=1

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