Taylor Expansion Question about this Series

[LagrangeEuler]

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

 

[pasmith]

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

THis is an expansion about $x$. You can tell that because the series is a power series in $\alpha$.

 

[PeroK]

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