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## Homework Statement

Taylor's theorem states:

[tex]f(x)=\displaystyle\sum_{k=0}^{infinity}{\frac{(f(^k(a)(x−a)^k)}{n!}}[/tex]

When approximating a function, we always set a=0, and it gives an approximation for the whole function.

Why set the a=0? What does the a reperesent?

Thank you.

## Homework Equations

## The Attempt at a Solution

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