7.(i) Find the sum of ` (1+1/2^2)+(1/2+1/2^4)+(1/2^2+1/2^6)+...........+oo`

Find the value of 2+1/(2+1/(2+1/(2+oo)))

Find the value of 2+1/(2+1/(2+1/(2+oo)))

Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

Find the sum (1^2)/(2)+(3^2)/(2^2)+(5^2)/(2^3)+(7^2)/(2^4)+….oo

Find the sum 1+1/(1+2)+1/(1+2+3)+..........+1/(1+2+3+.........+n)dot

Find the sum of the infinite series 1.3/2+ 3.5/2^2+ 5.7/2^3+ 7.9/2^4+.......oo

Find the sum to n terms of the series 1/(1+1^2+1^4)+2/(1+2^2+2^4)+3/(1+3^2+3^4)+.......... that means t_r = r/(r^4+r^2+1) find sum_(r=1)^n

Find the sum 1+1/(1+2)+1/(1+2+3)++1/(1+2+3++n)dot

If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value of 1/(2^2)sec^2x/2+1/(2^4)sec^2x/(2^2)+1/(2^6)sec^2x/(2^3)+oo

Find the sum to infinity of the series 2+1+(1)/(2)+...oo.