Is the following limit, conditionally covergent, abolutely convergent, or divergent?(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \sum_{n=1}^{\infty} \frac{(-1)^n e^{1/n}}{n^3} [/tex]

To solve this i used the ratio test with help from L'Hospitals Rule. That took me forever and was really complicated. Can anyone think of an easier way?

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# Is there an easier way?

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