grandes-ecoles 2023 Q3

grandes-ecoles · France · mines-ponts-maths2__psi Taylor series Identify a closed-form function from its Taylor series

Show that $$\forall x \in ]-1,1[ \quad s(x)e^{x} = \frac{1}{1-x}$$ Deduce that $R = 1$.

Show that
$$\forall x \in ]-1,1[ \quad s(x)e^{x} = \frac{1}{1-x}$$
Deduce that $R = 1$.