Assignment:
Prove telescoping series:
Let a_n from n=0 to infinity be a sequence of real numbers which converge to 0, i.e. lim n-->infinity a_n=0. Then the series of the sum from n=0 to infinity of (a_n - a_n+1) converges to a_0.
Provide complete and step by step solution for the question and show calculations and use formulas.