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Kaederfds

0^0 = ?

  • one year ago
  • one year ago

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  1. Shadowys
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    undefined. 0/0=?

    • one year ago
  2. shubhamsrg
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    yep, it is undefined.

    • one year ago
  3. ParthKohli
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    ``` Prove that 0 to the 0 power is undefined. ``` Proof by contradiction. By definition, \(0^n = 0\). By definition, \(x^0 = 0\). But the two definitions contradict at \(x=0\) and \(n = 0\).

    • one year ago
  4. ParthKohli
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    Another one: Suppose that \(0^0 = x\). Then \(\log _ 0x = 0\). But there are infinite such values, so \(0^0\) does not exist.

    • one year ago
  5. sauravshakya
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    @ParthKohli x^0 =1

    • one year ago
  6. ParthKohli
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    Whoopsie.

    • one year ago
  7. ParthKohli
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    I meant to type that, sorry :-(

    • one year ago
  8. ranyai12
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    it's undefined

    • one year ago
  9. shubhamsrg
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    x^0 = x^(n-n) = x^n /x^n so it'll be undefined whenever denominator is 0.

    • one year ago
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