@article {MATHEDUC.06367503,
author = {Herzog, Gerd},
title = {A proof of Lie's product formula.},
year = {2014},
journal = {American Mathematical Monthly},
volume = {121},
number = {3},
issn = {0002-9890},
pages = {254-257},
publisher = {Mathematical Association of America (MAA), Washington, DC},
doi = {10.4169/amer.math.monthly.121.03.254},
abstract = {Summary: For $d \times d$-matrices $A$, $B$ and entire functions $f$, $g$ with $f(0) = g(0) = 1$, we give an elementary proof of the formula $$\lim_{k \to \infty}(f(A/k)g(B/k))^k = \exp(f'(0)A + g'(0)B).$$ For the case $f = g = \exp$, this is Lie's famous product formula for matrices.},
msc2010 = {H65xx},
identifier = {2015b.00746},
}