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The value of lim(x->oo)x[tan^(- 1)((x+1...

The value of `lim_(x->oo)x[tan^(- 1)((x+1)/(x+2))-tan^(- 1)(x/(x+2))]` is

A

1

B

0

C

`1//2`

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The value of lim_(xto oo)(x+2)tan^(-1)(x+2)-(xtan^(-1)x) is

    A
    `(pi)/2`
    B
    Doesn't exist
    C
    `(pi)/4`
    D
    None of these

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