Home
Class 12
MATHS
I(n)=int(0)^(pi//4)tan^(n)xdx, then lim(...

`I_(n)=int_(0)^(pi//4)tan^(n)xdx`, then `lim_(n to infty) n[I_(n)+I_(n-2)]` equals :

A

`1/2`

B

1

C

`infty`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If I_(n)=int_(0)^(pi//4)tan^(n)xdx , then (1)/(I_(3)+I_(5)) is

If I_(n)=int(lnx)^(n)dx then I_(n)+nI_(n-1)

The value of int_(-pi//2)^(pi//2)sqrt(cos^(2n-1)x-cos^(2n+1)x)dx,n in N , is a) (4)/(2n+1) b) (1)/(2n+1) c) (2)/(2n+1) d) (1)/(2(2n+1))