(Solved): Consider the following geometric series: n=0(6x)n Find the values of x for which the serie ...

Consider the following geometric series: ${?}_{n=0}^{?}(6x{)}^n$ Find the values of $x$ for which the series converges. Give your answer by filling in the end points of the interval below $<x<$ Given that the series converges (that is, $x$ satisfies the inequality above), find the sum of the series. Your answer will be in terms of $x$ $\text{ Sum }=$