Question

$\huge \tt \red{ \sum \limits_{n = 0}^{ \infty } \frac{1}{(1000n)!_{1000}}}$​

Answer 1

$\tt \red{ \sum \limits_{n = 0}^{ \infty } \frac{1}{(1000n)!_{1000}}}$

$\tt \red{ \sum \limits_{n = 0}^{ \infty } \frac{1}{1000^{n} \cdot n!_{}}}$

$\tt \red{{{ 1 + \frac{1}{1000^{} \cdot 1!_{}}} + \frac{1}{1000^{2} \cdot 2!_{}}} + ....}$

$\tt \red{ {e}^{ \frac{1}{1000} } }$