Question

Help with Lagrange Error Bound Question:
Number 8 here:
http://studylib.net/doc/8468990/a-function-f-x--can-be-approximated-using-a

Answer 1

is it something like \[R_n(x)\leq \frac{M}{(n+1)!}|x-a|^{n+1}\]

Answer 2

i think
in your case \(M=1\) and \(x=1.2\) giving \[R_n(x)\leq \frac{1}{(n+1)!}|.2|^{n+1}\]

Answer 3

yes that's it, but when I do this:\[\frac{ 0.2^{n+1} }{ {(n+1)}! }\], I get n=4

Answer 4

OHHHHHH.... it says terms, not degree of polynomial. Ok got it sorry

Answer 5

The taylor polynomial is fourth degree but the first term is a constant f(1.2)

Answer 6

btw it has been a while, so i would not bet more than $7 on that answer

Answer 7

making the answer 5

Answer 8

i believe you