1.

Let f be a fuction definated on (-1, 1) by f(x)=(cos ^-1 (1-{x}^2)sin^-1(1-{x}))/({x}-{x})^3 ,x ne 0 and {.} is the fractional part function. Which of the following statements is correct ?

Answer»

`lim_(xto 0^+) f(x)` EXISTS and equals `(pi)/(sqrt(2))`
`lim_(xto0^-)f(x)` exists and equals `(pi)/(4)`
`lim_(xto0^+)f(x)` exists and equals `(pi)/(4)`
`lim_(xto 0^-) f(x)` exists and equals `(pi)/(2)`

Answer :A::B


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