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Let f(x) = {{:(((pi)/(2)-sin^(-1)(1-{x}^...

Let `f(x) = {{:(((pi)/(2)-sin^(-1)(1-{x}^(2)).sin^(-1)(1-{x}))/(sqrt(2) ({x}+{x}^(3)))",",x ne 0):}`, where {.} is fractional part of x, then

A

`f(0^(+))=-(pi)/(2)`

B

`f(0^(-))=(pi)/(4 sqrt(2))`

C

f(x) is continuous at x = 0

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
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