Question

Use the ratio test to determine whether∑n=12∞n2+55n converges or diverges.

(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n≥12, limn→∞∣∣∣an+1an∣∣∣=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+1an∣∣∣ =

(c) By the ratio test, does the series converge, diverge, or is the test inconclusive?

Answer #1

Determine whether the sequence converges or diverges. If it
converges, find the limit. (If an answer does not exist, enter
DNE.)
an = (4^n+1) /
9^n

Determine whether the sequence converges or diverges. If it
converges, find the limit. (If an answer does not exist, enter
DNE.)
an = 4 − (0.7)n
lim n→∞ an =
please box answer

Consider the series ∑n=1 ∞ an
where
an=(5n+5)^(9n+1)/
12^n
In this problem you must attempt to use the Ratio Test to decide
whether the series converges.
Compute
L= lim n→∞
∣∣∣an+1/an∣∣
Enter the numerical value of the limit L if it converges, INF if
the limit for L diverges to infinity, MINF if it diverges to
negative infinity, or DIV if it diverges but not to infinity or
negative infinity.
L=
Which of the following statements is true?
A. The...

1) Determine if the sequence converges or Diverges. If it
converges find the limit.
an=n2*(e-n)

Use the RATIO test to determine whether the series is convergent
or divergent.
a) sigma from n=1 to infinity of (1/n!)
b) sigma from n=1 to infinity of (2n)!/(3n)
Use the ROOT test to determine whether the series converges or
diverges.
a) sigma from n=1 to infinity of
(tan-1(n))-n
b) sigma from n=1 to infinity of ((-2n)/(n+1))5n
For each series, use and state any appropriate tests to decide
if it converges or diverges. Be sure to verify all necessary...

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