For each sequence a, find a number k such that nkan has a finite non-zero limit. (This is of use, because by the limit comparison test the series a, and n-k both converge or both Σ Σ n=1 n=1 diverge.) : (4 + 2n)-2 A. An %3D B. an = n°+n k = 2n2+2n+2 6n°+6n+2 C. an k = 2n2+2n+4 D. an Gnº+6n+2ñ ) %3!

For each sequence a, find a number k such that nkan has a finite non-zero limit. (This is of use, because by the limit comparison test the series a, and n-k both converge or both Σ Σ n=1 n=1 diverge.) : (4 + 2n)-2 A. An %3D B. an = n°+n k = 2n2+2n+2 6n°+6n+2 C. an k = 2n2+2n+4 D. an Gnº+6n+2ñ ) %3!

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Description: For each sequence a, find a number k suchthat nkanhas a finite non-zero limit.(This is of use, because by the limit comparison testthe series a, and n-k both converge or bothΣΣn=1n=1diverge.): (4 + 2n)-2A. An%3DB. an =n°+nk =2n2+2n+26n°+6n+2C. ank =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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For each sequence a, find a number k such
that nkan
has a finite non-zero limit.
(This is of use, because by the limit comparison test
the series a, and n-k both converge or both
Σ
Σ
n=1
n=1
diverge.)
: (4 + 2n)-2
A. An
%3D
B. an =
n°+n
k =
2n2+2n+2
6n°+6n+2
C. an
k =
2n2+2n+4
D. an
Gnº+6n+2ñ )
%3!

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