- #1

LagrangeEuler

- 708

- 20

[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?

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- Thread starter LagrangeEuler
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- #1

LagrangeEuler

- 708

- 20

[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?

- #2

pasmith

Homework Helper

2022 Award

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- 1,196

[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].

- #3

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- 15,753

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

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