Let `f(n)=1+1/2+1/3++1/ndot` Then `f(1)+f(2)+f(3)++f(n)` is equal to
(a)`nf(n)-1`
(b) `(n+1)f(n)-n`
(c)`(n+1)f(n)+n`
(d) `nf(n)+n`

Let f(n)=2cos nx AA n in N, then f(1)f(n+1)-f(n) is equal to (a)f(n+3) (b) f(n+2)(c)f(n+1)f(2)(d)f(n+2)f(2)

Given f(1)=2 and f(n+1)=(f(n)-1)/(f(n)+1)AA n in N then

If (x+1)+f(x-1)=2f(x)andf(0),=0 then f(n),n in N, is nf(1)(b){f(1)}^(n)(c)0 (d) none of these

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

f(1)=1 and f(n)=2sum_(r=1)^(n-1)f(r). Then sum_(n=1)^(m)f(n) is equal to (A)3^(m)-1(B)3^(m)(C)3^(m-1) (D)none of these

If f(1) = 1 and f(n + 1) = 2 f(n) + 1, if n ge 1, then f(n) is.

f (1) = 1, n> = 1f (n + 1) = 2f (n) +1 then f (n) =

If f(n)=1^2+2.2^2+3^2+2.4^2+5 .6^2+2.6^2+...+ n terms ,then (A) f(n)= (n(n+1)^2)/2 , if n is even (B) f(n)= (n^2(n+2)^2)/2, if n is even (C) f(n)= (n^2(n+1))/2 , if n is odd (D) f(n)= (n(n+3)^2)/2 if n is odd

If f(n)=(-1)^(n-1)(n-1),G(n)=n-f(n) for every n in N then (GOG)(n)=

if f(x)=x^(n) then f(1)+f'(1)/(1!)+f''(1)/(2!)+...+(f^(n)(1))/(n!) is equal to