ak123456
- 50
- 0
b]1. Homework Statement [/b]
prove that
[tex]\sum[/tex]( (e^(-u)) (u(^(x)) )/x! (from x=o to n ) = [tex]\int[/tex] ( (e^(-y))(y^n) )dy/n! (from u to infinite )
i know that the left is Poisson distribution formula but how to do with the 'sum' ?
and the right one i got a infinite series , use integration by part .but i don not know how to simplicity it .
is there anything else i can use for this question ?
prove that
[tex]\sum[/tex]( (e^(-u)) (u(^(x)) )/x! (from x=o to n ) = [tex]\int[/tex] ( (e^(-y))(y^n) )dy/n! (from u to infinite )
Homework Equations
The Attempt at a Solution
i know that the left is Poisson distribution formula but how to do with the 'sum' ?
and the right one i got a infinite series , use integration by part .but i don not know how to simplicity it .
is there anything else i can use for this question ?
Last edited by a moderator: