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Use graphical and numerical evidence to conjecture the convergence or divergence of the series. $$\sum_{k=1}^{\infty} \frac{2^{k}}{k !}$$...

Question

Use graphical and numerical evidence to conjecture the convergence or divergence of the series. $$\sum_{k=1}^{\infty} \frac{2^{k}}{k !}$$

Use graphical and numerical evidence to conjecture the convergence or divergence of the series. $$\sum_{k=1}^{\infty} \frac{2^{k}}{k !}$$



Answers

Test the series for convergence or divergence.

$ \displaystyle \sum_{k = 1}^{\infty} \frac {1}{k \sqrt{k^2 +1}} $


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