Learn how to solve problems step by step online. Find the limit of (1-r^(n+1))/(1-r) as r approaches 1. Evaluate the limit \lim_{r\to1}\left(\frac{1-r^{\left(n+1\right)}}{1-r}\right) by replacing all occurrences of r by 1. Subtract the values 1 and -1. An expression divided by zero tends to infinity. As by directly replacing the value to which the limit tends, we obtain an indeterminate form, we must try replacing a value close but not equal to 1. In this case, since we are approaching 1 from the left, let's try replacing a slightly smaller value, such as 0.99999 in the function within the limit:.

Find the limit of (1-r^(n+1))/(1-r) as r approaches 1