If `f(x)=(x-e^(x)+cos2x)/(x^(2))` where `x!=0`, is continuous at `x=0` then (where, {.} and [x] denotes the fractional part and greatest integer)

if f(x) ={x^(2)} , where {x} denotes the fractional part of x , then

If f(x)={x^(2{e^((1)/(x))}),x!=0k,x=0 is continuous at x=0, where {^(*)} represents fractional part function,then

Is the function f(x)={x}x>=0{-x}x<0 (where {^(*)} denotes the fractional part of (x) even ?

Period of the function f(x)=cos(cos pi x)+e^({4x}), where {.} denotes the fractional part of x, is

If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional part function and [.] denotes greatest integer function and sgn(x) is a signum function)

If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional part function and [.] denotes greatest integer function and sgn(x) is a signum function)

A point where function f(x) = [sin [x]] is not continuous in (0,2pi) [.] denotes the greatest integer le x, is

If f(x) = {{:([x]+[-x]",",x ne 2),(" "lambda",",x = 2):} and f is continuous at x = 2, where [*] denotes greatest integer function, then lambda is