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The value of cot (underset(n=1)overset(2...

The value of `cot (underset(n=1)overset(23)sum cot^(-1) (1 + underset(k=1)overset(n)sum 2k))` is

A

`23/25`

B

`25/23`

C

`23/24`

D

`24/23`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The value of underset(-1)overset(2)int(|x|)/(x) dx is

    A
    0
    B
    1
    C
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    D
    3

  • For 0ltphilepi//2 , if : x=underset(n=0)overset(oo)sumcos^(2n)phi,y=underset(n=0)overset(oo)sumsin^(2n)phi , z=underset(n=0)overset(oo)sumcos^(2n)sin^(2n)phi , then :

    A
    `xyz=xz+y`
    B
    `xyz=xy+z`
    C
    `xyz=x+yz`
    D
    `xyz=yz+x`

  • underset(1)overset(e )int log x dx =

    A
    1
    B
    e-1
    C
    e+1
    D
    0

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