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Let f(x) be a real valued function defin...

Let `f(x)` be a real valued function defined for all `xge1`, satistying `f(1)=1` and `f'(x)=1/(x^(2)+(f(x)))`, then `lim_(xtooo)f(x)`

A

doesn't exist

B

exists and less than `(pi)/4`

C

exists and less than `1+(pi)/4`

D

exists and equal to 0

Text Solution

Verified by Experts

The correct Answer is:
C
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