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Question

limxπ41cot3x2cotxcot3x is:

A
114
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B
34
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C
12
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D
12
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Solution

The correct option is B 34
limxπ4(1cot3(x)2cot(x)cot3(x))

=limxπ4(cot(x)+csc2(x)2+cot(x)+cot2(x))

=cot(π4)+csc2(π4)2+cot(π4)+cot2(π4)

=34

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