Show if the sequence converges or diverges using  L'Hôpital's rule   \left(\frac{10^n+4n}{3-2\left(3^{n+1}\right)}\right)

Q: For the sequence { 4^(-n) } a) determine whether or not is convergent b) if it is convergent,…

A: The nth term of the given sequence is given by bn=4-n. If limn→∞bn exists, the sequence bn is…

Q: [n^2cos(n/2)] / 2n^2 +1 does this sequence converge or diverge & w

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Q: Whst is the exact value of the limit of the sequence (7^(n+1)-7)/7^n?

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Q: Let (a_n) be the sequence defined by the recursive relation a_n=a_(n−1)+5n+1, with initial term…

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Q: What is the exact value of the limit of the sequence -n^3/(n^4+1)?

A: To determine the value of the limit.

Q: why sequence Xnk approaches +infinity and why sequence Xmk approaches -infinity. Why would one use…

A: To determine whether the sequence ( n sin(n) ) is divergent and whether the limit approaches…

Q: Q1/ Isthe sequence {a,} converge ? († - ) -

A: If a sequence converges to some limit, then it is convergent; otherwise it is divergent.

Q: 4n2 Determine if the sequence {an}I with an= converges. If it converges write its limite if it…

A: Given Data The sequence formula an is:     The expression for the limit of sequence an is,

Q: determine whether the sequence converges or diverges.if it converged find its limit.…

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Q: Find the third term of the sequence  {2n^2/3^n-1}from n=1 to ∞

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Q: Find a5 for the sequence with generating function (2/(1−x)^2)*(x/(1−x−x^2)

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Q: A sequence can be generated by using a_(n)=a_((n-1))+4. If a_(1)=2, what is the value of a_(20).

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Q: prove that the sequence (1/5^n) is convergent and approaches zero?

A: Series and sequences

Q: For each infinite sequence, find the limit, or determine that the sequence diverges.…

A: Divide the numerator and denominator by k

Q: Show that the sequence $a_{n}=\frac{n}{n^{2}+1}$ is decreasing.

A: The given sequence an=nn2+1. We have to show that the sequence is decreasing.

Q: For what values of $r$ is the sequence $\left\{r^{n}\right\}$ convergent?

A: The given sequence rn. We have to find the values of r such that the sequence is convergent.