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Math Help - Simplifying

  1. #1
    MHF Contributor Mathstud28's Avatar
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    Simplifying

    I came up with this while conducting a phsyics thing and I need help simplifying it...if it can at all be simplified.

    \frac{\lfloor{\frac{1}{x}\rfloor}}{2}+\frac{2^{x-2}}{3^{x-1}}\bigg\lceil{1-\frac{1}{x}\bigg\rceil}
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  2. #2
    Moo
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    Is x positive or negative ?

    Try to consider |x|<1 and |x|>1 separately... ? Maybe it would help ?
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  3. #3
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Moo View Post
    Is x positive or negative ?

    Try to consider |x|<1 and |x|>1 separately... ? Maybe it would help ?
    Yeah on the positive integers it reduced to

    f(x)={{\frac{1}{2}\quad\text{if }x=1}\brace{\frac{2^{x-2}}{3^{x-2}}}\quad\text{if }x\in\mathbb{Z^+}\ne{1}}
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