. Show that:
I used integration by parts. I've come across a limit part, what's that value? . <-- Is that just zero, if so why?
So handwaving - exponentials grow much facter than powers. If you look at a power series for the exponetial
and you can always go out far enough in the power series so that the powers in the denominator are larger than that in the numerator.
Do you know about L'Hopitals rule?
But if we apply L'Hopitals rule then wouldn't we get a number other than zero unless numerator gives zero. However, isn't the numerator, Because greater the value, then greater it's power will increase it by.