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^(+)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

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) and g(x) be two continuous function and h(x)= lim_(n to oo) (x^(2n).f(x)+x^(2m).g(x))/((x^(2n)+1)). if the limit of h(x) exists at x=1, then one root of f(x)-g(x) =0 is _____.

Let f : R to R be defined as f (x) =10 x +7. Find the function g : R to R such that g o f =f 0 g= 1 _(R).

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)

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