Question

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)

*a*_{n} = (4^n+1) /
9^n

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 − (0.7)n
lim n→∞ an =
please box answer

Determine whether the sequence converges or diverges. If it
converges, find the limit. (If an answer does not exist, enter
DNE.) a n = n 3 /n + 2

Determine whether the limit converges or diverges, if it
converges, find the limit.
an = (1+(4/n))^n

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∑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?

Determine whether the following sequences converge or diverge.
If a sequence converges, find its limit. If a sequence diverges,
explain why.
(a) an = ((-1)nn)/
(n+sqrt(n))
(b) an = (sin(3n))/(1- sqrt(n))

Determine whether the sequence a_n = (3^n + 4^n)^(1/n) diverges
or converges

Determine the limit of the sequence or show that the sequence
diverges by using the appropriate Limit Laws or theorems. If the
sequence diverges, enter DIV as your answer. ??=ln(9?−78?+4)

determine whether the sequence converges or diverges.
a_n=(-1)^n n+7/n^2+2

Determine whether the following series converges or
diverges:∞∑n=1 ln(1 +1/n).

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