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burhan101

  • 3 years ago

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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. wio
    • 3 years ago
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    What have you tried so far?

  3. burhan101
    • 3 years ago
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    i know we're supposed to rationalize, but how ? :S

  4. wio
    • 3 years ago
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    First of all, can you turn \[\frac{1}{x}-\frac{1}{3}\]Into a single fraction?

  5. wio
    • 3 years ago
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    Remember that \[\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{bd}=\frac{ad+cb}{bd}\]

  6. burhan101
    • 3 years ago
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    i get \[\frac{ 3-x }{ 3x }\]

  7. wio
    • 3 years ago
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    Altogether it's:\[\Large \lim_{x\rightarrow 3}\frac{\frac{3-x}{3x}}{x-3}\]Can you see any way to cancel things out?

  8. burhan101
    • 3 years ago
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    |dw:1350446553429:dw|

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