If the real valued function `f(x)=(a^(x)-1)/(x^(n)(a^(n)+1))` is even, then find the natural values of n.

The real valued function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is even,then the value of n can be

Prove that the real valued function f(x)=(x)/(e^(x)-1)+(x)/(2)+1 is an even function on R-{0}

If f(x) is real valued function such that (f(x-1)+f(x+1))/(2f(x))=sin60^(@),AA x in R then find the value of f(x-1)+f(x+5)

If lim_(n rarr oo)(1)/((sin^(-1)x)^(n)+1)=1, then find the value of x.

If f(x)=(a^(x))/(a^(x)+sqrt(a)),(a>0), then find the value of sum_(r=1)^(2n1)2f((r)/(2n))

If f(n)=int_(0)^(2015)(e^(x))/(1+x^(n))dx , then find the value of lim_(nto oo)f(n)

If f(x)=x^(2) is a real function, find the value of f(1).

Is the function f(x)=x^(3n), n in N even?