Convergence of Geometric SeriesIn Probability, ex=โn=0โxnn!e^x = \sum\limits_{n=0}^{\infty} {x^n \over n!}ex=n=0โโโn!xnโ โn=1โan\sum\limits_{n=1}^{\infty} a^nn=1โโโan converges if โฃaโฃ<1|a| < 1โฃaโฃ<1.