Question

1) Use the ratio test to determine whether ∑ n=3 ∞ : n(−4)^n/n! converges or diverges.

(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n≥3,

lim as n→∞∣∣∣an+1/(an)∣∣∣= lim as n→∞ _____??___ / _??______





2) Use the ratio test to determine whether ∑ n=14 ∞ : n8^n/(n+2)! converges or diverges.

(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n≥14,

lim as n→∞∣∣∣an+1/(an)∣∣∣= lim as n→∞ _____??___ / _??______