If the function `f(x)=(2x-sin^(-1)x)/(2x+tan^(-1)x)` is continuous at each point of its domain, then the value of `f(0)` (a) 2 (b) `1/3` (c) `-1/3` (d) `2/3`

If the function f(x)=(2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at each point of its domain, then the value of f(0) (A) 4/3 (B) 1/3 (C) -1/3 (D) 2/3

If f(x)=(2x+sin^(-1)x)/(2x-tan^(-1)x) is continuous for all x in (-1,1) , then value of f (0) is

Domain of the function f(x)= sin^(- 1)(1+3x+2x^2)

If the function f(x)=((1-x))/(2)tan.(pix)/(2) is continuous at x = 1, then f(1) is equal to

Domain of the function f(x)=log(sin^(-1)sqrt(x^(2)+3x+2)) is :

The domain of the function f(x)=(sin^(-1)(3-x))/("In"(|x|-2)) is

If the function f(x) ={:{((3x^3-2x^2-1)/(x-1)", "x ne 1),(" "K", " x= 1):}, is continuous at x=1,find the value of k.

Let function f be defined as f:R^(+)toR^(+) and function g is defined as g:R^(+)toR^(+) . Functions f and g are continuous in their domain. Suppose, the function h(x)=lim_(ntooo)(x^(n)f(x)+x^(2))/(x^(n)+g(x)), x gt0 . If h(x) is continuous in its domain,then f(1).g(1) is equal to (a) 2 (b) 1 (c) 1/2 (d) 0

If the function f(x)=((128 a+a x)^(1/8)-2)/((32+b x)^(1/5)-2) is continuous at x=0 , then the value of a/b is (A) 3/5f(0) (B) 2^(8/5)f(0) (C) (64)/5f(0) (D) none of these

The domain of the function f(x)=sin^(-1)((8(3)^(x-2))/(1-3^(2(x-1)))) is