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Question-152439




Question Number 152439 by fotosy2k last updated on 28/Aug/21
Commented by fotosy2k last updated on 28/Aug/21
help me
$${help}\:{me} \\ $$
Commented by alisiao last updated on 29/Aug/21
Σ_(n=1) ^∞  (1/( (√n^5 )))=Σ_(n=1) ^∞  (1/n^(5/2) ) ⇒ p=(5/2)>1  is Divergent by p−series
$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\:\sqrt{{n}^{\mathrm{5}} }}=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{{n}^{\frac{\mathrm{5}}{\mathrm{2}}} }\:\Rightarrow\:{p}=\frac{\mathrm{5}}{\mathrm{2}}>\mathrm{1} \\ $$$${is}\:{Divergent}\:{by}\:{p}−{series} \\ $$$$ \\ $$
Commented by fotosy2k last updated on 30/Aug/21
thank you
$${thank}\:{you} \\ $$

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