The exponential function is expressed in terms of the series, but practically, how many terms do we need to compute it to some desired accuracy? Well, it turns out the answer to that is quite interesting.

Oscar's video on how computers actually compute the exponential series:    • exp(x) explained  

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Sources:
Central Limit Theorem: https://en.wikipedia.org/wiki/Central...
The problem that inspired this video (last question on the problem sheet): https://www.dpmms.cam.ac.uk/study/IA/...

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