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Evaluating large integers

  1. Mar 31, 2008 #1
    1. The problem statement, all variables and given/known data

    I need to find some huge numbers and don't know how to do it using a computer. Everything that I have tried doesn't work because the numbers are too big.

    2. Relevant equations

    The equations are 1/((1-x)(1-x^2)(1-x^3)) and 1/((1-x)(1-x^3)(1-x^4)) where x=10^30.


    3. The attempt at a solution

    I am assuming the only way to find this is using a computer. Please help!
     
  2. jcsd
  3. Apr 1, 2008 #2

    Gib Z

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    Homework Helper

    The numbers aren't huge here, they're extremely small!

    x is quite a large number here, in comparison the 1's in the denominators will be quite insignificant. If we forget about the 1's, we can the equations to be:

    [tex]\frac{-1}{x^6} [/tex] and [tex]\frac{-1}{x^8}[/tex]. Those numbers you can easily compute exactly by hand =] I also assure you that neglecting the 1's creates a very small error indeed. We could carry out an analysis to find the maximum error made, but I can't be bothered, I'm sure you see its tiny as well.
     
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