Domain of the function `f(x)=1/sqrt(sin(cosx))+sin^(- 1)((2x)/pi)+1/({-x})+1/(ln(1-tanx/2]-[-tanx/2])` is (where [.] represents greatest integer function.)

Domain of the function f(x)=(1)/(sqrt(sin(cos x)))+sin^(-1)((2x)/(pi))+(1)/({-x})+(1)/(ln(1-(tan x)/(2)]-[-(tan x)/(2)]) is (where [.Irepresents greatest integer function.)

domain of the function f(x)=sqrt(ln((1)/(|sin x-1|))))

Domain of the function , f(x) = sqrt(sin^(-1) (log_2 x)) is

The domain of the function f(x)=sqrt(sin^(-1)(log_(2)x)) is

Domain of log_([x+1])(x-1) is ([.] represents greatest integer function)

f(x)=sin^-1[log_2(x^2/2)] where [ . ] denotes the greatest integer function.

The domain of the function f(x)= sqrt(sin^(-1)x-(pi)/(4))+log(1-x) is :

The domain of the function f(x)= sqrt(sin^(-1)x-(pi)/(4))+log(1-x) is :

Prove that [lim_(xrarr0) (sinx.tanx)/(x^(2))]=1 ,where [.] represents greatest integer function.

Prove that [lim_(xrarr0) (sinx.tanx)/(x^(2))]=1 ,where [.] represents greatest integer function.