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osanseviero

  • 2 years ago

Limit of a function without graphics. Algebraic way :)

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  1. osanseviero
    • 2 years ago
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    \[\lim_{x \rightarrow -3}\frac{ x ^{3}+x ^{2}-21x-45 }{ x ^{3}+7x ^{2}+15x+9 }\]

  2. hwtrain
    • 2 years ago
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    I think you just plug in 3 for x

  3. osanseviero
    • 2 years ago
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    Nope, it is an idetermination. If you plug in, it is 0/0

  4. hwtrain
    • 2 years ago
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    Ok, since the numerator and the denominator has the same degree of 3 wouldn't the limit just be 1 then?

  5. osanseviero
    • 2 years ago
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    Nope, there are ways in which you factorize...the thing is that I dont know how to factorize this function

  6. shamil98
    • 2 years ago
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    Factor out the numerator and denominator.

  7. osanseviero
    • 2 years ago
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    Just got it, thanks :)

  8. shamil98
    • 2 years ago
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    and simplify what you can in the numerator and denominator , and then plug in your x value

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