Question

1 point) Use the ratio test to determine whether $\sum_{n=8}^{\infty} \frac{n(-5)^n}{n!}$ converges or diverges. a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For $n \ge 8$, $\lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| = \lim_{n \to \infty}$ b) Evaluate the limit in the previous part. Enter $\infty$ as infinity and $-\infty$ as -infinity. If the limit does not exist, enter DNE. $\lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| =$ c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

          1 point) Use the ratio test to determine whether $\sum_{n=8}^{\infty} \frac{n(-5)^n}{n!}$ converges or diverges.
a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For $n \ge 8$,
$\lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| = \lim_{n \to \infty}$
b) Evaluate the limit in the previous part. Enter $\infty$ as infinity and $-\infty$ as -infinity. If the limit does not exist, enter DNE.
$\lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| =$
c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose

$1 point) Use the ratio test to determine whether ∑n=8^∞(n(-5)^n)/(n!) converges or diverges. a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 8, limn →∞| (an+1)/(an)| = limn →∞ b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity. If the limit does not exist, enter DNE. limn →∞| (an+1)/(an)| = c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose$

Added by Jason P.

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