Question: Let g(x) = p(x) + xn+1f(x), where p(x) is a polynomial of degree at most n and f has derivations through order n Show that

Let g(x) = p(x) + xn+1f(x), where p(x) is a polynomial of degree at most n and f has derivations through order n Show that p(x) is the Maclaurin polynomial of order n for g?

Step by Step Solution

3.50 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The Maclaurin polynomial of order n for g is p0 p0 x p0 2 x 2 p n 0 n x n which is the Maclaur... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

955-M-C-D-E (2623).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!