1) The terms of series are defined recursively by the equations:
Determine whether ?" an converges or diverges
2) a) Show that ?" (from n=0 to infinity) [x^n/n!]converges for all x
b) Deduce that lim ( n--> infinity)[x^n/n!] = 0 for all x
This is a series of problems with convergent and divergent series.