Question

5) Consider the statements:

(a) Rn (x)→0 as n→∞ for the Taylor’s expansion of f (x) = sin 3x about x = 0.

(b) Rn (x) does not tend to zero as n→∞ for the Taylor’s expansion of f (x) = 2x for x =1.

Select the true statement from the following: (A) Both the statements are true. (B) Both the statements are false. (C) Only (a) is

true. (D) Only (b) is true​

Answer 1

Answer:

(x − a)2 + ··· + f(n)(a) n! (x − a)n. The nth partial sum Tn(x) is a polynomial called the nth degree Taylor polynomial for f(x) centered at x = a.

Step-by-step explanation:

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