just put on the RHS and you're done!
Show that
Thoughts...
First of, for . (I think)
So let , then .
Also, substitute , then we get.
I do this as I seem to remember doing something similar in a course a year or two ago. Don't really know where to go next though and pretty sure I've messed up the integrals limits... Maybe the b should become nt (in the integral)?
Ok that parts easy enough (I just thought I'd do it the other way round to see if it worked).
But I'm not sure how to change the range of integration from to b. Any how to justify the limit changes (from N to b).
Is it that we have so as N goes to infinity so must b.