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ksandoval Group Title

how do you find the limit of this (attached) algebraically?

  • one year ago
  • one year ago

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  1. robinfr93 Group Title
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    attached??

    • one year ago
  2. ksandoval Group Title
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    \[\lim_{x \rightarrow \pm \infty} \frac{ x^4 + x^3 }{ 12x^3 + 128 }\]

    • one year ago
  3. satellite73 Group Title
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    numerator is larger than the denominator, so no limit or you could say \(\infty\) as \(x\to \infty\) and \(-\infty\) as \(x\to -\infty\)

    • one year ago
  4. jamesumner93 Group Title
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    you can see that the top gets larger faster than the bottom so it is either going to be positive infinity or negative infinity, depending on if your taking the limit as x approaches infinity or negative infinity respectively

    • one year ago
  5. ksandoval Group Title
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    oh. thats all you do? okay! so what if the denominator was larger?

    • one year ago
  6. jamesumner93 Group Title
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    then it would be 0

    • one year ago
  7. jamesumner93 Group Title
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    because it would be like 1/2 , 1/4. 1/8, 1/16. 1/32, 1/64 (closer and closer to 0)

    • one year ago
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