Prove that `(1-1/3+1/3^(2)-1/3^(3)+1/3^(4)-...oo)=3/4`

1/(2!)-1/(3!)+1/(4!) .....oo =

Find the sum of the following series to infinity: 1-1/3+1/(3^2)-1/(3^3)+1/(3^4)+oo

Find the sum of the following series to infinity: 1-(1)/(3)+(1)/(3^(2))-(1)/(3^(3))+(1)/(3^(4))+oo

Prove that 1^3/(1!)+2^3/(2!)+3^3/(3!)+4^3/(4!)+.....=5e

Prove that : 3^(1/2)xx3^(1/4)xx3^(1/8)xx.......... to oo=3 .

If (1)/(1^(4))+(1)/(2^(4))+(1)/(3^(4))+...+oo=(pi^(4))/(90), then (1)/(1^(4))+(1)/(3^(4))+(1)/(5^(4))+...+oo=

Prove that, (1.3)/(1!)+(2.4)/(2!)+(3.5)/(3!)+(4.6)/(4!)+.....=4e

It is given that (1)/( 1^(4) ) + ( 1)/( 2^(4)) + ( 1)/( 3^(4)) +"......" to oo = ( pi^(4))/( 90) , then (1)/( 1^(4)) +( 1)/( 3^(4)) +( 1)/( 5^(4)) + "......" to oo is :