Leibniz criterion for alterning serie say that if the two conditons a_n >0 is decreasing and -->0 are satisfied, the serie converges. It doesn't say that if they don't it diverge.(adsbygoogle = window.adsbygoogle || []).push({});

So how do you determine the convergence of an alternative serie that doesn't satisfy the conditions? For exemple,

[tex]\sum_{n=1}^{\infty} (-1)^n\frac{1}{n^{1/n}}[/tex]

[tex]a_n \rightarrow 1 \neq 0[/tex]

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# Leibniz test

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