How mathematicians make sense of adding up infinite numbers

Partial sums intro | Series | AP Calculus BC | Khan Academy · 6:08 · Video: Khan Academy · Watch at the source

In short: How can you add an infinite list of numbers without the result becoming meaningless? This video introduces partial sums, the foundational tool used to bridge the gap between finite addition and the behavior of infinite series.

A partial sum is the result of adding only the first few terms of an infinite series. While an infinite series can be daunting to conceptualize, looking at these finite

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