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onegirl

  • 2 years ago

Explain why each function is discontinuous at the given point. f(x) = x/x - 1 at x = 1

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  1. Lethal
    • 2 years ago
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    so what is discontinuous?

  2. onegirl
    • 2 years ago
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    you mean the word discontinuous or?

  3. Lethal
    • 2 years ago
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    yeah

  4. onegirl
    • 2 years ago
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    well it means having a gap... missing doesn't continue

  5. Lethal
    • 2 years ago
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    i don't get it. why would this function be discontinuous

  6. onegirl
    • 2 years ago
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    because its saying that at point 1 it breaks its doesnt continue the line, so you have to explain why? why it broke?

  7. onegirl
    • 2 years ago
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    @zepdrix can u help?

  8. zepdrix
    • 2 years ago
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    \[\large f(x)=\frac{x}{x-1}\] In the land of math, we are never allowed to divide by 0. If we let \(x=1\), it turns the denominator into \(0\). Which gives us a fraction of the form \(\dfrac{1}{0}\), which is no beuno!! See how we're dividing by 0? So we say that the function is undefined, or in other words, has a `discontinuity` at x=1.

  9. zepdrix
    • 2 years ago
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    If we were to look at it graphically, it forms an asymptote at x=1. Remember what type of discontinuity that is?

  10. onegirl
    • 2 years ago
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    infinite right? lol

  11. zepdrix
    • 2 years ago
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    yes good c:

  12. onegirl
    • 2 years ago
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    ok thanks

  13. Lethal
    • 2 years ago
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    Good Good.

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