Let \[S = \frac{1}{2^3} + \frac{1}{4^3} + \frac{1}{6^3} + \dotsb\]and \[T = \frac{1}{1^3} + \frac{1}{3^3} + \frac{1}{5^3} + \dotsb.\]Find $S/T$.
S = Sum[1/n^3; n = 0; n = n + 2; n <= inf] = 1/4*zeta(5) and T = Sum[1/n^3: n = 1; n = n + 2; n <= inf] = 3/4*zeta(5), so S/T = 1/3.
S = 0.15025711289495 T=1.051799790264645 S/T =0.15025711289495 / 1.051799790264645 S/T = 1 / 7
Why don't you put your Latex into the Latex box so that people can read it ?
+1072 
