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mamaluj [8]
4 years ago
9

Apply root test to the series.

Mathematics
1 answer:
Angelina_Jolie [31]4 years ago
8 0
\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

Since this limit exceeds 1, the series diverges.
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Step-by-step explanation:

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See attachment for further explanation

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