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## Main Question or Discussion Point

what does it mean if y(x)=[itex]\sum[/itex][itex]^{∞}_{n=0}[/itex] a

and y(0)=1 ?

does this mean that x

_{n}(x-x_{0})^{n}and y(0)=1 ?

does this mean that x

_{0}=0 and a_{0}=1 ?- Thread starter kahwawashay1
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- #1

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what does it mean if y(x)=[itex]\sum[/itex][itex]^{∞}_{n=0}[/itex] a_{n}(x-x_{0})^{n}

and y(0)=1 ?

does this mean that x_{0}=0 and a_{0}=1 ?

and y(0)=1 ?

does this mean that x

- #2

lurflurf

Homework Helper

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That x

is one (obvious) possibility, but sometimes other choices are used.

For example we might chose a different x

1=y(0)=[itex]\sum[/itex][itex]^{∞}_{n=0}[/itex] a

A bit tricky to work with, but not too bad.