We know the energy of an oscillator E = nhv, where v is the frequency and n is an integer and we know E = hv. As frequency approaches zero the Energy is very small and continuous and essentially the classical limit. Knowing this, how do we prove that when frequency is approaching zero, using the series expansion for e^x.
I am not too sure where to start to derive the equation, such as which equation to begin with. Any help is appreciated!