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02-06-2017
Mathematics

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Apply root test to the series.

Apply root test to the series class=

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LammettHash LammettHash

02-06-2017

[tex]\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\left(\frac{5n+15}{2n-1}\right)^n\right|}=\lim_{n\to\infty}\frac{5n+15}{2n-1}=\dfrac52[/tex]

Since this limit exceeds 1, the series diverges.

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