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What is 0! and 0^0(0 to the power 0) ?

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Rohit21 Just gettin' started! Default Avatar
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What is 0! and 0^0(0 to the power 0) ? Post Sun Apr 15, 2012 5:30 pm
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    What is 0! and 0^0(0 to the power 0) ?

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    Anurag@Gurome GMAT Instructor
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    Post Sun Apr 15, 2012 6:02 pm
    Rohit21 wrote:
    What is 0! and 0^0(0 to the power 0) ?
    0! = 1
    0^0 = 1

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    Rohit21 Just gettin' started! Default Avatar
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    Post Sun Apr 15, 2012 10:56 pm
    But I read somewhere (may be GMAT CLub) that 0! is not defined. So just wanted to make sure.

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    Post Sun Apr 15, 2012 11:00 pm
    Rohit21 wrote:
    But I read somewhere (may be GMAT CLub) that 0! is not defined. So just wanted to make sure.
    It's for sure that 0! = 1

    n! = 1 if n = 0, and
    = (n - 1)! * n if n > 0

    By this definition, 0! = 0

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    killer1387 GMAT Destroyer! Default Avatar
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    Post Sun Apr 15, 2012 11:12 pm
    Anurag@Gurome wrote:
    Rohit21 wrote:
    What is 0! and 0^0(0 to the power 0) ?
    0! = 1
    0^0 = 1
    @Anurag

    I think 0^0 is not defined; the case shifts to limits.

    pls comment

    thanx

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    Post Sun Apr 15, 2012 11:19 pm
    killer1387 wrote:
    @Anurag

    I think 0^0 is not defined; the case shifts to limits.

    pls comment

    thanx
    Actually one could never say exactly that how to define 0^0. In GMAT, you'll never get a question that asks about 0^0.

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    ronnie1985 GMAT Destroyer!
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    Post Sun Apr 15, 2012 11:20 pm
    Anurag@Gurome wrote:
    Rohit21 wrote:
    What is 0! and 0^0(0 to the power 0) ?
    0! = 1
    0^0 = 1
    0^0 is not defined as x^0 = x^(y-y) = x^y/x^y. For zero, it is not defined.

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