Taylor Expansion Question about this Series

[LagrangeEuler]

Can you please explain this series
[tex]f(x+\alpha)=\sum^{\infty}_{n=0}\frac{\alpha^n}{n!}\frac{d^nf}{dx^n}[/tex]
I am confused. Around which point is this Taylor series?

 

[pasmith]

Can you please explain this series
[tex]f(x+\alpha)=\sum^{\infty}_{n=0}\frac{\alpha^n}{n!}\frac{d^nf}{dx^n}[/tex]
I am confused. Around which point is this Taylor series?

THis is an expansion about [itex]x[/itex]. You can tell that because the series is a power series in [itex]\alpha[/itex].

 

[PeroK]

It would help if the derivatives were explicitly evaluated at ##x##. Then it would be clearer.