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If f(m,n) = int0^(pi/2) cos^(m)x. cosnx ...

If `f(m,n) = int_0^(pi/2) cos^(m)x. cosnx` and f(m,n) = m/(m+n) f(m-1, n-1) then f(n,n)=

A

1/2 f(n,n)

B

`pi/(2^(n+1))`

C

`pi/(2^(n))`

D

`pi/4`

Text Solution

Verified by Experts

The correct Answer is:
B
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