evrimesa evrimesa

16-07-2021
Mathematics

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Since lim n→ infinity (.............) = ...........

Since lim n infinity class=

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LammettHash LammettHash

16-07-2021

Notice that

[tex]\dfrac{4n+1}{8n+2}=\dfrac{4n+1}{2(4n+1)}=\dfrac12[/tex]

So by the root test,

[tex]\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\left(\frac12\right)^{2n}\right|} = \frac14 < 1[/tex]

and so the series converges (absolutely).

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