\displaystyle f^{(i-1)}(\alpha+h)=f^{(i-1)}(\alpha)+\frac{f^{(i+l)}(\alpha)}{(l+1)!}h^{l+1}+\ldots\\ f^{(i)}(\alpha+h)=\frac{f^{(i+l)}(\alpha)}{l!}h^l+\ldots