# Find the sum of the series #1/2-1/3+1/4-1/9+1/8-1/27+........# to infinity?

##### 1 Answer

Jan 16, 2017

#### Explanation:

Hence, the given infinitive is one infinitive geometric series subtracted from another infinitive geometric series.

Observe that in the infinite series

and in the infinite series

As for an infinite series whose first term is

Hence

Hence