Let T3 be the Maclaurin polynomial of f (x) = ex . Use the error bound to find the maximum possible value of |f (1.1) − T3(1.1)|. Show that we can take K = e1.1.

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Q: For which value of x does the Maclaurin polynomial Tn satisfy Tn(x) = f (x), no matter what f is?

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A: Given that f(x)=ex The maclaurin series is, ex=1+x+x22!+x33!+....+xnn! Where, T3=x44!+...+xnn!+....

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Q: ƒ(X) e F[X] be a non-constant polynomial of degree d. Prove that f(a) has degree at least over F.

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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