Answer:
Hey there! To prove the given series equals loge2, we can use the formula for the sum of an infinite geometric series. The formula is a / (1 - r), where 'a' is the first term and 'r' is the common ratio. In this case, the first term is 1 and the common ratio is 2.2. By plugging these values into the formula, we can show that the series converges to loge2.