Question

State and prove Taylor's theorem with
Cauchy's form of remainder?​

Answer 1

Answer:

That is, as claimed, Rn(x) = (x - c)n-1(x - a) (n - 1)! f(n)(c) This result is Taylor's Theorem with the Cauchy remainder. There is another form of the remainder which is also useful, under the slightly stronger assumption that f(n) is continuous. ... This result is Taylor's Theorem with the integral form of the remainder.

Step-by-step explanation:

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