What is the mathematical notation for the limit of e^(-E/kT) as T approaches 0?

[thomas49th]

Homework Statement

$$f = e^{-\frac{E}{kT}}$$

Explain why f is close to zero at low temperatures.

Well that's because the smaller T is the smaller the bigger E/kT, however it's e^ - so that means the bigger E/kT is the closer it's to 0

BUT how do i write that mathematically

when you say

lim
T->0

'as t tends to'

with the correct notation.

Thanks

 

[radou]

You write it $$\lim_{T\rightarrow 0}f(T) = 0$$, where $$f(T) = e^{-\frac{E}{kT}}$$.

 

[thomas49th]

yea that's it. cheers :)