Calling on all Math Whizzes... Can anyone please help...
Show that for
where
You can re-write the expression as
by factorial property
factor out lambda not dependent on i
Let change of index.
If you can show
is equal to 1, then you are done. This sum looks extremely familiar to me, might be from statistics. I'll help you find a solution for this part if you need it online.
EDIT://
Note that is constant and that the remaining is the Taylor Series expression of