Solution Found!
Taylor coefficients for x = a Follow the procedure in the
Chapter 7, Problem 66E(choose chapter or problem)
QUESTION:
Taylor coefficients for r = a Follow the procedure in the text to show that the nth-order Taylor polynomial that matches f and its derivatives up to order n at a has coefficients
\(c_{k}=\frac{f^{(k)}(a)}{k !} \text { for } k=0,1,2, \ldots, n\).
Questions & Answers
QUESTION:
Taylor coefficients for r = a Follow the procedure in the text to show that the nth-order Taylor polynomial that matches f and its derivatives up to order n at a has coefficients
\(c_{k}=\frac{f^{(k)}(a)}{k !} \text { for } k=0,1,2, \ldots, n\).
ANSWER:Solution 66E
Step 1:
In this problem we have to find the taylor coefficients.
The -order Taylor polynomial for y = f(x) at