<aside> 💡 do it always the first

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If $\lim_{n→\infin}a_n\ne0$, then the series $\sum_{n=1}^\infin a_n$ is divergent

If $a_\infin$ is not zero, then will added together it will eventually yield out infinity.

<aside> 📌 Does not prove convergence if $\lim_{n→\infin}a_n=0$, it is only one way.

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Additional Information (including proof)