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A convergent series runs to the X axis and gets as close as you like; close enough, fast enough to take an area under the curve.

1/X2 as simplified example, sans series paraphernalia

A divergent series does not approach the X axis close enough or fast enough to converge adequately on the axis.

1/X

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Q: What is the difference between a convergent and divergent series and how can you tell which is which?
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