The sum to infinity of the series will be
Explanation for the correct answer:
Let,
Group the fractions containing the same base
We see that the sum has two geometric series in it. The formula to find the sum of a geometric series is,
where, is the first term and is the common ratio.
In the above sum, the first term and common ratio of the first series is , and the first term and common ratio of the second series is . Thus,
Hence, is correct.