The value of `sum_(n=3)^(oo)(1)/(n^(5) - 5n^(3) +4 n)` is equal to -

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

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

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

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

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

The sum sum_(n=1)^(oo)tan^(-1)((3)/(n^(2)+n-1)) is equal to

The value of the sum_(n=0)^(oo)(2n+3)/(3^(n)) 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

The value of lim_(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2) equals

The value of lim_(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2) equals