grandes-ecoles 2023 Q4

grandes-ecoles · France · mines-ponts-maths2__psi Taylor series Extract derivative values from a given series

Starting from the relation $(1-x)s(x) = e^{-x}$ for $x \in ]-1,1[$, express $\frac{d_n}{n!}$ for natural number $n$, in the form of a sum.

Starting from the relation $(1-x)s(x) = e^{-x}$ for $x \in ]-1,1[$, express $\frac{d_n}{n!}$ for natural number $n$, in the form of a sum.