Supose [tex] a_n=f(n) [/tex](adsbygoogle = window.adsbygoogle || []).push({});

What is the relationship between convergence or divergence of:

[tex] \sum_{n=1}^\infty a_n[/tex] and [tex] \int_{1}^{\infty}f(x)dx[/tex] ?

Besides the integral test (which only works for special cases).

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# Improper integrals and Infinite Series

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