Defining an Infinite Series as a Limit
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- By now, you should be familiar with summation notation: given a finite sequence of numbers a1,…,ana_{1}, \ldots, a_{n}a1,…,an, their sum can be written as ∑k=1nak\sum_{k=1}^{n…
By Andrew Yang, Joshua Siktar, Victor Wang, Ahaan Rungta, Victoria Rodriguez
- By now you've probably seen infinite series of some form, and you may even know how to evaluate some. First let's remind ourselves of the difference between series and sum. You …
By Ray Li, Ahaan Rungta, Cameron Montag, Moor Xu, Alex Federspiel
- Sequence limits allow us to make sense of infinite sums, like the infinite geometric series 1+0.5+0.52+0.53+…1 + 0.5 + 0.5^2 + 0.5^3 + \dots1+0.5+0.52+0.53+…. Namely, given an i…
By Victor Wang