Note that A and D are ludicrous choices, so you can throw them away outright. (Any divergent series cannot have a sum, and any convergent series must have a sum.)
The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.
We can then find the exact value of the sum:
So the answer is B.
The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.
We can then find the exact value of the sum:
So the answer is B.