How to prove that for $\displaystyle a>0$ and $\displaystyle s_j = \sum_{i=0}^j \frac{a^i}{i!}$ the series
$\displaystyle f_j = \frac{s_j}{s_{j-1}}$
is decreasing?
How to prove that for $\displaystyle a>0$ and $\displaystyle s_j = \sum_{i=0}^j \frac{a^i}{i!}$ the series
$\displaystyle f_j = \frac{s_j}{s_{j-1}}$
is decreasing?
Thanks in advance!
Wouldn't $\displaystyle \displaystyle \begin{align*} f_j \end{align*}$ be a sequence, not a series?