X<1 হলে, 1+x+x2+x3+..... ধারাটির যোগফল কোনটি?

X<1 হলে, 1+x+x2+x3+..... ধারাটির যোগফল কোনটি? Correct Answer 11-x

The given expression represents an infinite geometric series with first term '1' and common ratio 'x'. The sum of an infinite geometric series can be found using the formula:Sum = a / (1 - r)where 'a' is the first term and 'r' is the common ratio. In this case, we have:a = 1 r = xSo, the sum of the infinite series is:Sum = 1 / (1 - x)Now, we need to find the sum of the series for the values of 'x' such that:|x| < 1This condition is necessary to ensure that the series converges.Therefore, the sum of the given infinite series is:Sum = 1 / (1 - x)for |x| < 1.