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burhan101

  • 3 years ago

Rational limits, okay so i don't understand this at all ..

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  1. burhan101
    • 3 years ago
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    \[\lim_{x \rightarrow 3}\frac{ \frac{ 1 }{ x } -\frac{ 1 }{ 3 }}{ (x-3) }\]

  2. ash2326
    • 3 years ago
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    Simplify the numerator first @burhan101

  3. burhan101
    • 3 years ago
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    would i multiply it by 3x/3x ?

  4. Shadowys
    • 3 years ago
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    Could you use draw? the equation can't be seen.

  5. burhan101
    • 3 years ago
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    |dw:1350447657304:dw|

  6. Shadowys
    • 3 years ago
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    yes. multiply by 3x you'll get rid of the denominator

  7. ash2326
    • 3 years ago
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    \[\lim_{x\to 3}\frac{\frac{3-x}{3x}}{x-3}\] \[\lim_{x\to 3}\frac{3-x}{3x(x-3)}\] Now simplify this and put x=3

  8. burhan101
    • 3 years ago
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    i get this |dw:1350447751544:dw|

  9. Shadowys
    • 3 years ago
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    3-x equals to -(x-3)

  10. burhan101
    • 3 years ago
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    or so i should probably rearrange it

  11. burhan101
    • 3 years ago
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    -1/9 ?

  12. Shadowys
    • 3 years ago
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    yup! :)

  13. burhan101
    • 3 years ago
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    t-y :)

  14. Shadowys
    • 3 years ago
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    You're welcome!

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