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Let f(x)=(sin^(-1)(1-{x})xxcos^(-1)(1-{x...

`Let f(x)=(sin^(-1)(1-{x})xxcos^(-1)(1-{x}))/(sqrt(2{x})xx(1-{x}))`, where `{x}` denotes the fractional part of x.
Which of the following is true?

A

`lim _(x to 0^(+))f (x)= (pi)/(4)`

B

`lim _(x to 0^(+))f (x) =sqrt2 lim _(x to 0^(-))f (x)`

C

`lim _(x to 0^(-))f (x) =(pi)/(4 sqrt2)`

D

`lim _(x to 0^(-))f (x) = (pi)/(2 sqrt2)`

Text Solution

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The correct Answer is:
B, D
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