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

Question

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

satellite73 · Answer

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

satellite73 · Answer

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

lemao · Answer

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

lemao · Answer

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

lemao · Answer

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

satellite73 · Answer

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

lemao · Answer

making the answer 5

satellite73 · Answer

i believe you