<latex2pdf>
<tex>קוד:ראש</tex>
\begin{thm}
תהי $f\in D^{n+1}(a,b) $ אזי
$$\exists c : \frac{\varphi'(c)}{\psi'(c)}=\frac{\frac{f^{(n+1)}(c)}{n!}(x-c)^n}{(n+1)(x-c)^n}=\frac{f^{(n+1)}(c)}{(n+1)!} =\frac{\varphi(x_0)-\varphi(x)}{\psi(x_0)-\psi(x)}=$$
$$ \frac{0-R_n(x,x_0)-0}{(x-x_0)^{n+1}} \Rightarrow R_n(x) =\frac{f^{(n+1)}(c)}{(n+1)!}(x-x_0)^{n+1}$$
\end{proof}
<tex>קוד:זנב</tex>
</latex2pdf>