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Homework Help: Difficult z transform with a factorial

  1. Jan 23, 2013 #1
    1. The problem statement, all variables and given/known data

    find z transform of:

    x[n] = (1 / n!) *u[n]

    u[n] is the unit step

    2. Relevant equations

    z transform equation

    X(z) = Ʃ x[n] * z-n

    summation is from -∞ to +∞

    3. The attempt at a solution

    cancel the u[n] by changing the bounds of the summation

    now it is from 0 to +∞

    It's at this point I'm stuck, outside of performing approximations for the factorial, I'm not sure how to proceed. Any tips?

    I apologize for the lack of formatted questions, I'm still a newbie when it comes to LateX
  2. jcsd
  3. Jan 24, 2013 #2

    rude man

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    Homework Helper
    Gold Member

    How about ex = 1 + x + x2/2! + ... ?
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