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Study23

  • 3 years ago

Help (Evaluate Limit)

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  1. Study23
    • 3 years ago
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    I'm not really understanding this, I attempted this for the last 30 minutes... \(\ \Huge \lim_{(x \rightarrow 7)} \frac{\sqrt{x+2}-3}{x-7} \)

  2. experimentX
    • 3 years ago
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    rationalze it ... or use l'hospital rule

  3. experimentX
    • 3 years ago
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    *rationalize numerator

  4. abhijitjain1995
    • 3 years ago
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    |dw:1339357875786:dw|

  5. Study23
    • 3 years ago
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    How would I rationalize?

  6. zepp
    • 3 years ago
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    Multiply by the conjugate of the denominator.

  7. abhijitjain1995
    • 3 years ago
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    |dw:1339358153740:dw|

  8. Study23
    • 3 years ago
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    So, multiplying by the conjugate yields: |dw:1339358330856:dw|

  9. experimentX
    • 3 years ago
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    cancel out (x-7) on both numerator and denominator ... and put the value x

  10. Study23
    • 3 years ago
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    Got it! Thanks all!

  11. zepp
    • 3 years ago
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    It's numerator here, not denom :x http://puu.sh/A3Vb Sorry about it, lol

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