Problem 1: Consider the power series n=0 where a is a variable. (a) Plug in 1. Does the resulting series converge or diverge? (Justify your answer using any of the convergence tests we've learned.) (b) Now plug in . Does the series converge or diverge? (Again, justify your answer.) (c) What about when l+ 2 (d) Using your answers to parts (a)-(c) as a guide, determine which values of r make the series converge and which values make it diverge, and explain your answer using any of the convergence tests we've learned.