Question Number 135369 by Bird last updated on 12/Mar/21
$${let}\:{f}\left({x}\right)={e}^{−\mathrm{2}{x}} {ln}\left(\mathrm{3}+{x}\right) \\ $$$$\left.\mathrm{1}\left.\right)\:{calculate}\:{f}^{\left({n}\right.} \right)\left({x}\right)\:{and}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right){developp}\:{f}\:{at}\:{integr}\:{serie} \\ $$