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let-a-b-N-2-and-p-n-x-x-n-n-bx-a-n-give-the-taylor-formula-for-p-n-at-x-0-




Question Number 33174 by prof Abdo imad last updated on 11/Apr/18
let (a,b)∈N^2  and p_n (x)= (x^n /(n!))(bx−a)^n   give the taylor formula for p_(n )  at x=0 .
$${let}\:\left({a},{b}\right)\in{N}^{\mathrm{2}} \:{and}\:{p}_{{n}} \left({x}\right)=\:\frac{{x}^{{n}} }{{n}!}\left({bx}−{a}\right)^{{n}} \\ $$$${give}\:{the}\:{taylor}\:{formula}\:{for}\:{p}_{{n}\:} \:{at}\:{x}=\mathrm{0}\:. \\ $$

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