Question

What comes to mind when you see this?
\[ f^n(x)=(-1)^n \frac { n!}{x^{n+1}}\]

Answer 1

alternating series

Answer 2

this is a function sequence

Answer 3

pizza....???

Answer 4

Gyros?

Answer 5

:)

Answer 6

ok so how does it relate to Taylor series...someone gave me a mathematical explanation, but in words, how does it relate?

Answer 7

\[f^n(x)=(-1)^n \frac { n!}{x^{n+1}}\]
\[\frac {f^n(a)}{n!}(x-a)^n =(-1)^n \frac {(x-a)^n}{a^{n+1}}\]
\[\sum_{n=0}^\infty (-1)^n \frac {(x-a)^n}{a^{n+1}}\]
I can see the math , but I'm geniunly trying to understand the concepts