Let $A$ and $B$ be two arbitrary matrices of $\mathcal{M}_d(\mathbf{R})$. Using the results of questions 8 and 9, deduce that $$\exp(A+B) = \lim_{n \rightarrow +\infty} \left(\exp\left(\frac{A}{n}\right)\exp\left(\frac{B}{n}\right)\right)^n$$
Let $A$ and $B$ be two arbitrary matrices of $\mathcal{M}_d(\mathbf{R})$. Using the results of questions 8 and 9, deduce that
$$\exp(A+B) = \lim_{n \rightarrow +\infty} \left(\exp\left(\frac{A}{n}\right)\exp\left(\frac{B}{n}\right)\right)^n$$