first time

[Kenshin]

The terms of this series are reciprocals of positive integers whose only prime factors are 2s and 3s:

1+1/2+1/3+1/4+1/6+1/8+1/9+1/12+......

Show that this series converges and find its sum.


this is my first time writing here. i hope someone can help me with this question.

[robert Ihnot]

Try working with (1+1/2+1/4+1/8.......)(1+1/3+1/9+1/27+++++++) See if that covers the sum above...