The value of `sum_(n=1)^oo(-1)^(n+1)(n/(5^n))` equals

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

The value of sum_(n=1)^(oo)(1)/(2n(2n+1)) is equal to

sum_(n=1)^(oo) (1)/(2n(2n+1)) is equal to

sum_(n=1)^(oo) (2n)/(n!)=

The value of sum_(n=1)^oo\ (n^2+1)/((n+2)n!) is

If sum_(r=1)^(n)T_(r)=(n(n+1)(n+2))/(6), then the value of sum_(r=1)^(oo)((1)/(T_(r))) is equal to

Let T_(n) be the n^(th) term of a sequence for n=1,2,3,4... if 4T_(n+1)=T_(n) and T_(5)=(1)/(2560) then the value of sum_(n=1)^(oo)(T_(n)*T_(n+1)) is equal to

sum_(n=1)^(oo) ((Inx)^(n))/(n!) is equal to

sum_(n=1)^(oo) ((Inx)^(n))/(n!) is equal to