" 38.If "S=sum_(n=1)^(99)(5^(100))/((25)^(n)+5^(100))

Let S = sum_(n =1)^(99) (5^(100))/((25)^(n) + 5^(100)) . Find [S]. Where [y] denotes largest integer less than or equal to y.

S=sum_(n=1)^(99)(5^(100))/((25)^(n)+5^(100)) Find [S]

Find the value of S_(n)=sum_(n=1)^(oo)(3^(n)*5^(n))/((5^(n)-3^(n))(5^(n-1)-3^(n+1))) and hence s_(oo)

sum_(n=1)^(100) int_(n-1)^(n) e^(x-[x])dx=

sum_(n=1)^(oo)((4n+5).5^(-n))/(n(5n+5))=

Let f be a real valued function defined on R (the set of all real numbers) such that f(1)=f(-1)=5 and whose graph of f is symmetrical with respect to the lines x=+-1. Given sum_(r=50)^(99)f((r)/(100)) and sum_(r=50)^(150)f((-r)/(100))=5. If S=sum_(r=50)^(150)f((r)/(100))+sum_(r=50)^(150)f((-r)/(100)). Then find S .

Let S _(n ) = sum _( k =0) ^(n) (1)/( sqrt ( k +1) + sqrt k) What is the value of sum _( n =1) ^( 99) (1)/( S _(n ) + S _( n -1)) ?=

Let Sn=sum_(k=0)^(n)(1)/(sqrt(k+1)+sqrt(k)) What is the value of sum_(n=1)^(99)(1)/(s_(n)+s_(n-1))?

The infinite sum sum_(n=1)^(oo) ((5^(n) + 3^(n))/(5^(n))) is equal to