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Mathisnotfun

  • 3 years ago

Find the limit algebraically

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  1. Mathisnotfun
    • 3 years ago
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    |dw:1348033674052:dw|

  2. Jemurray3
    • 3 years ago
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    is that \[ \lim_{h \rightarrow 0} \frac{\sqrt{h^2+4h+5}-\sqrt{5}}{h}\]

  3. Mathisnotfun
    • 3 years ago
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    yep except the h -> 0 there's a negative sign on the 0 because it's a left sided function

  4. Jemurray3
    • 3 years ago
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    Multiply the top and bottom by \[ \sqrt{h^2+4h+5} + \sqrt{5} \]

  5. Mathisnotfun
    • 3 years ago
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    ok and then just plug in 0 for h?

  6. Jemurray3
    • 3 years ago
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    well, see what happens first...

  7. Mathisnotfun
    • 3 years ago
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    ha cool got it. 2/√5

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