[" The value of "sum_(k=0)^(oo)(k^(2))/(4^(k))=(m)/(n)" when "m,n" are "],[" coprime positive integers then "m+n" is "],[:]

The value of sum_(k=0)^(oo)(k^(2))/(4^(k)) can be written as (m)/(n) where m and n are relatively prime positive integers.Then the value of (m+n) is

sum_(k=m)^(n)kC_(r)

sum_(k=m)^n kC_r

Given that sum_(k=1)^(35)sin5k^(@)=tan((m)/(n))^(@), where m and n are relatively prime positive integers that satisfy ((m)/(n))^(@)<90^(@), then m+n is equal to

The value of Lim_(n rarr oo)sum_(k=1)^(n)(n-k)/(n^(2))cos((4k)/n) equals

The value of lim_(n rarr oo)sum_(k=1)^(n)log(1+(k)/(n))^((1)/(n)) ,is

Find the value of lim_(n rarr oo)sum_(k=1)^(n)((k)/(n^(2)+k))

Find the value of lim_(n rarr oo)sum_(k=1)^(n)(k^(2)+k-1)/((k+1)!) .