sheheryar91
sheheryar91
02-06-2017
Mathematics
contestada
Apply root test to the series.
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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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