1. (a) Use the alternating series estimation theorem to find the sum + . n=0 2" n! 8 48 correct to 10-7. To be more precise, give me two numbers a and b that differ by 2x10 7 such that the sum of the infinite series is guaranteed to lie between a and b. (b) Now use the fact that e* = It x + 2! 3! ... to find an exact value 4! 5! 6! 7! for the infinite sum of part (a) and use it to check your estimate in (a)