If f( n ) = `n /( 1 + n ) `, then find the value of ` f( n ) + 1/f(n)`

If   f(x ) = n/( n+1) , then find the value of f(n) + 1/f(n)

If a+alpha=1,b+beta=2 and af(n)+alphaf(1/n)=bn+beta/n , then find the value of (f(n)+f(1/n))/(n+1/n)

Let f be a function from be set of positive integers to the set of real numbers i.e. f: N to R , such that f(1)+2f(2)+3f(3)+……+nf(n)=n(n+1)f(n) form ge2 , then find the value of f(1994).

Let f(n)=log_(1155)(n^(3)) for all n in N, then find the value of f(7)+f(11)+f(15)

If f : R to R is given f (x) = x +1, then the value of lim _( b - oo) (1)/(n) [ f (0) + f ((5)/(n)) + f ((10)/(n)) +...+ f ((5 ( n -1))/( n )) ], is :

If f(x)=x^(n) and if f'(1)=10, Find the value of x.

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

f_(n)={{:(f_(n-1)" if n is even"),(2f_(n-1)" if n is odd"):} and f_(o)=1 , find the value of f_(4)+f_(5)

If f(x)=x^(n)&f'(1)=10, find the value of n.