Find the sum of an infinite geometric series whose first term is the limit of the function `f(x)=(tan x-sin x)/(sin^3x)` as `x->0` and whose common ratio is the limit of the function `g(x) =(1-sqrt(x))/(cos^(-1)x)^2` as x->1

Find the sum of an infinite geometric series whose first term is the limit of the function f(x)=(tan x-sin x)/(sin^(3)x) as x rarr0 and whose common ratio is the limit of the function g(x)=(1-sqrt(x))/((cos^(-1)x)^(2)) as x->1

Find the sum of an infinite geometric series whose first term is the limit of the function f( x) =( tan x - sinx )/( sin^(3) x ) as x rarr 0 and whose common ratio is the limit of the function g(x) = ( 1-sqrt(x))/( (cos^(-1)x ) as x rarr 1

Find the sum of an infinite geometric series whose first term is the limit of the function f(x)=(1-tan x)/(1-sqrt(2)sin x) as x rarr(pi)/(4) and whose common ratio is the limit of the function g(x)=(1-sqrt(x))/((cos^(-1)x)^(2)) as x rarr1

Find the domain of the function f(x) = sin^-1 sqrt(x-1)

Find the domain of the function f(x)=sin^(-1)sqrt(x-1)

Find the domain of the function f(x)=sin^(-1)sqrt(x-1)

Find the domain of the function f(x)=sin^(-1)sqrt(x-1)

The domain of the function f(x)=(1)/(sqrt(|sin x|+sin x)) is

Let S denotes the sum of an infinite geometric progression whose first term is the value of the functions f(x)=(sin(x-pi//6))/(sqrt3-2cosx) at x=pi/6, if f(x) is continuous at x=pi/6 and whose common ratio is the limiting value of the function g(x)=(sin(x)^(1//3) ln(1+3x))/((arc tansqrtx)^2 (e^(5*x^(1//3))-1)) as x rarr 0. Find the value of 2S.

Find the domain of the function f(x)=sqrt(1-2x)+3sin^(-1)((3x-1)/(2))