(3)/(1^(2)*2^(2))+(5)/(2^(2)*3^(2))+(7)/(3^(2)*4^(2))+...+oo" is equal to: "

1+(3)/(2)+(5)/(2^(2))+(7)/(2^(3))+....oo is equal to

2/(1!)+3/(2!)+4/(3!)+......oo is equal to

1/(2!)+2/(3!)+3/(4!)+......oo is equal to

Let S denote sum of the series (3)/(2^(3))+(4)/(2^(4)*3)+(5)/(2^(6)*3)+(6)/(2^(7).5)+...oo Then the value of S^(-1) is

The value of the sum (1)/(3^(2)+1)+(1)/(4^(2)+2)+(1)/(5^(2)+3)+...oo is equal

if s is sum of 5/((1^2).(2^2).3)+8/((2^2).(3^2).4)+11((3^2).(4^2).5)+14/((4^2).(5^2).6)+...oo then 4S is equal to:

The sum of the series 1+ 2/3+ (1)/(3 ^(2)) + (2 )/(3 ^(3)) + (1)/(3 ^(4)) + (2)/(3 ^(5)) + (1)/(3 ^(6))+ (2)/(3 ^(7))+ …… upto infinite terms is equal to :