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13 lines
443 B
Markdown
13 lines
443 B
Markdown
#math/calculus
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another freaking test for convergence/divergence of a series
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apparently even $\sum\limits \frac{1}{n}$ converges when it's alternating. Just take out the $(-1)^{n}$.
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# procedure
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take out the $(-1)^{n}$, and you're left with $b_{n}$, if $\lim_{n->\infty} b_{n} = 0$, and $b_{n+1}\leq b_n$ for all $n$, then the whole series converges.
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# absolute vs conditional convergence
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# error
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edek: ![[Pasted image 20220526122840.png]] |