icystrike
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Homework Statement
This is not a homework problem but I would like to clarify my concern.
It is stated that a function can be written as such:
f(x) = \lim_{n \rightarrow ∞} \sum^{∞}_{k=0} f^{(k)} \frac{(x-x_{0})^k}{k!}
R_{n}=\int^{x}_{x_{0}} f^{(n+1)} (t) \frac{(x-t)^n}{n!} dt
They state that by MVT,
R_{n}= \frac{f^{(n+1)}(x^{*})}{(n+1)!} (x-x_{0})^{n+1}
For some x^{*} \in (x_{0},x)
I am wondering which statement of MVT leads to the second identity? Much thanks:)
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