Let function f be defined as `f: R^+ -> R^+` and function g is defined as `g:R^+ -> R^+` pand g are continuous in their domain. Suppose, the function `h(x)=lim_(n->oo) (x^nf(x)+x^2)/(x^n+g(x)),x gt 0.` If `h(x)` is continuous in its domain, then `f(1).g(1)` is equal to

Let function f be defined as f:R^(+)rarr R^(+) and function g is defined as g:R^(+)rarr R^(+) pand g are continuous in their domain.Suppose,the function h(x)=lim_(n rarr oo)(x^(n)f(x)+x^(2))/(x^(n)+g(x)),x>0 If h(x) is continuous in its domain,then f(1)*g(1) is equal to

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

Let f(x) be a function such that f(x+y)=f(x)+f(y) and f(x)=sin x g(x)" fora ll "x,y in R . If g(x) is a continuous functions such that g(0)=k, then f'(x) is equal to

The function f(x) .defined as f(x)=lim_(n rarr oo)(f(x)+x^(2n)g(x))/(1+x^(2n)) shall be continuous every where,if

Let f be a function defined on [0,2]. Then find the domain of function g(x)=f(9x^(2)-1)

If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sinx , then find fog and gof .

The domain for which the functions defined by f(x)=3x^(2)-1 and g(x)=3+x are equal to :