let-f-x-x-n-1-ln-1-x-with-n-integr-and-n-1-1-calculate-f-p-x-2-find-f-n-x-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 32285 by abdo imad last updated on 22/Mar/18

let f(x)= x^(n−1) ln(1+x) with n integr and n≥1 1) calculate f^((p)) (x) 2) find f^((n)) (x)

$${let}\:{f}\left({x}\right)=\:{x}^{{n}−\mathrm{1}} {ln}\left(\mathrm{1}+{x}\right)\:{with}\:{n}\:{integr}\:{and}\:{n}\geqslant\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{\left({p}\right)} \left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{f}^{\left({n}\right)} \left({x}\right) \\ $$

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let-f-x-x-n-1-ln-1-x-with-n-integr-and-n-1-1-calculate-f-p-x-2-find-f-n-x-

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