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Homework Help: Correct notation of limits

  1. Jan 2, 2009 #1
    1. The problem statement, all variables and given/known data

    [tex]f = e^{-\frac{E}{kT}}[/tex]

    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


    'as t tends to'

    with the correct notation.

  2. jcsd
  3. Jan 2, 2009 #2


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    Homework Helper

    You write it [tex]\lim_{T\rightarrow 0}f(T) = 0[/tex], where [tex]f(T) = e^{-\frac{E}{kT}}[/tex].
  4. Jan 4, 2009 #3
    yea that's it. cheers :)
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