The value of `lim_(x->0) sin ^-1{x} (where {*}` denotes fractional part of x ) is

The value of lim_(x rarr0)sin^(-1){x}( where {*} denotes fractional part of x ) is

The value of lim_(xto0)sin^(-1){x} (where {.} denotes fractional part of x) is

The value of int_(0)^(4) {x} dx (where , {.} denotes fractional part of x) is equal to

The range of f(x) =sin(sin^(-1){x}) . where { ·} denotes the fractional part of x, is

The value of int_(0)^(1)({2x}-1)({3x}-1)dx , (where {} denotes fractional part opf x) is equal to :

Find the value of lim_(x rarr0)(ln(1+{x}))/({x}) where {x} denotes the fractional part of x .

If f(x) = e^(x) , then lim_(xto0) (f(x))^((1)/({f(x)})) (where { } denotes the fractional part of x) is equal to -

lim_(xto-1) (1)/(sqrt(|x|-{-x})) (where {x} denotes the fractional part of x) is equal to