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Question

limxπ2cotxcosx(π2x)3 is equal to

A
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C
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Solution

The correct option is C

limxπ2cotxcosx(π2x)3

Let x=π2+t

If x π2,t0

limt0sinttant8t3

=limt0(tt33!+t55!+)(t+t33+2t515+)8t3

=116

We can put x=π2t and we'll get L.H.L also same.
Since L.H.L = R.H.L the limit exists and is =116


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