​​​​Σ i=0,∞ ​​​​ Σ j=0,∞ ​​​​Σ j=0,∞ 1/{3^i3^j3^k} is

Question

\(\sum\limits_{i =0}^\infty \sum\limits_{j = 0}^\infty \sum\limits_{k = 0}^\infty \frac1{3^i3^j3^k}\) is

a. \(\frac1{27}\)

b. \(\frac{81}{208}\)

c. 1

d. none of these

Answer 1

Correct option is b. \(\frac{81}{208}\)