(a) For what values of x is [infinity] xn n! n = 0 convergent? x ≥ 0 for all x x < 0 none x ≤ 0 (b) What conclusion can be drawn about lim n → [infinity] xn n! ? lim n → [infinity] xn/n! = [infinity] for all values of x No conclusion can be drawn. lim n → [infinity] xn/n! = 0 for all values of x lim n → [infinity] xn/n! = 0 only for x < 0 lim n → [infinity] xn/n! = 0 only for x > 0
