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What comes to mind when you see this? \[ f^n(x)=(-1)^n \frac { n!}{x^{n+1}}\]
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alternating series
this is a function sequence
pizza....???
Gyros?
:)
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ok so how does it relate to Taylor series...someone gave me a mathematical explanation, but in words, how does it relate?
\[f^n(x)=(-1)^n \frac { n!}{x^{n+1}}\] \[\frac {f^n(a)}{n!}(x-a)^n =(-1)^n \frac {(x-a)^n}{a^{n+1}}\] \[\sum_{n=0}^\infty (-1)^n \frac {(x-a)^n}{a^{n+1}}\] I can see the math , but I'm geniunly trying to understand the concepts
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