" 1.If "f(k)=sum_(n=1)^(oo)(1)/((n+1)(n+2)(n+3)......(n+k))" then the value of "144.f(4)=

If sum_(n=1)^(5)(1)/(n(n+1)(n+2)(n+3))=(k)/(3), then k is equal to :-

If sum_(n=0)^(oo)2cot^(-1)((n^(2)+n+4)/(2))=k pi then find the value of k

If sum_(n=0)^(oo)2cot^(-1)((n^(2)+n+4)/(2))=k pi , then find the value of k.

If sum_(n=0)^oo2cot^(-1) ((n^2+n-4)/2)=kpi then find the value of k

The value of sum_(n=1)^(oo)(4n-2)/(3^(n))

Let f(n)= sum_(k=1)^(n) k^2 ^"(n )C_k)^ 2 then the value of f(5) equals

Let f(n)= sum_(k=1)^(n) k^2 ^"(n )C_k)^ 2 then the value of f(5) equals

Let f(n)=sum_(k=1)^(n) k^2(n C_k)^ 2 then the value of f(5) equals

Let f:R rarr R be a function which satisfies f(x+y)=f(x)+f(y) AA x, y in R . If f(1)=2 and g(n)=sum_(k-1)^((n-1))f(k),n in N then the value of n , for which g(n)=20 , is :