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Let f (x- = tan ^(-1) ((1-x)/(1+x)). The...

Let `f (x- = tan ^(-1) ((1-x)/(1+x)).` Then difference of the greatest and least value of `f (x)` on`[0,1]` is:

A

`pi//2`

B

`pi//4`

C

`pi`

D

`pi//3`

Text Solution

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The correct Answer is:
B
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