Question

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

Answer #1

please comment for any doubts

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

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.) a n = n 3 /n + 2

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 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)

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

Use the limit comparison test to determine whether the series Σ∞
n=1 (2^n)/(3+4^n) converges or diverges. Show your work. What
series did you use for the comparison? How did you figure out the
behavior (converge or diverge) of the series that you used for the
comparison?

Determine whether the series
∞
∑
n=1
(e^n+1+ (−1)^n+1)/(π^n)
converges or diverges. If it is convergent, find its
sum.

Let (a_n)∞n=1 be a sequence defined recursively by a1 = 1, a_n+1
= sqrt(3a_n) for n ≥ 1. we know that the sequence converges. Find
its limit.
Hint: You may make use of the property that lim n→∞ b_n = lim
n→∞ b_n if a sequence (b_n)∞n=1 converges to a positive real
number.

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