If f(x) 1 3x 5x 2 4x 3 2x 4 , which of the following are true statements I The Taylor polynomial of degree 6 about x 3 for f(x) is equal to f(x) II The remainder term R 5 (x) for f(x) is equal to zero III The remainder term R 3 (x) for f(x) is equal to zero please explain why the points you select are true and if you could show me how to work out remainders that would be really great Answers A) I and II B) I and III C) I only D) I, II, and III

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Question: If f(x) = 1 + 3x - 5x 2 + 4x 3 + 2x 4 , which of the following are true statements? I..The Taylor

If f(x) = 1 + 3x - 5x²+ 4x³+ 2x⁴, which of the following are true statements?

I..The Taylor polynomial of degree 6 about x = 3 for f(x) is equal to f(x). II.The remainder term R₅(x) for f(x) is equal to zero. III.The remainder term R₃(x) for f(x) is equal to zero.

please explain why the points you select are true and if you could show me how to work out remainders that would be really great!

Answers:

A) I and II

B) I and III

C) I only

D) I, II, and III

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