1!+2!+3!+....+1393!=

Don't get confused here, MG1.....

1! + 2! + 3! + ..... + 1393!  is a shorthand notation for summing  all the integer factorials from 1 to 1393.....{there are 1393 terms to be summed !!}

I don't know what this sum might be, because 1393! by itself would "wreck" our calculator....{the sum is not infinity, however......but definitely a HUGE number.... }

$${\mathtt{1\,393}}{!} = \infty$$

$${\mathtt{1}}{!}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}{!}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}{!} = {\mathtt{9}}$$

The answer is 9 + infinity = Infinity.

(Based on the calculator)