anonymous
  • anonymous
how do you find the limit of this (attached) algebraically?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
attached??
anonymous
  • anonymous
\[\lim_{x \rightarrow \pm \infty} \frac{ x^4 + x^3 }{ 12x^3 + 128 }\]
anonymous
  • anonymous
numerator is larger than the denominator, so no limit or you could say \(\infty\) as \(x\to \infty\) and \(-\infty\) as \(x\to -\infty\)

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anonymous
  • anonymous
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
anonymous
  • anonymous
oh. thats all you do? okay! so what if the denominator was larger?
anonymous
  • anonymous
then it would be 0
anonymous
  • anonymous
because it would be like 1/2 , 1/4. 1/8, 1/16. 1/32, 1/64 (closer and closer to 0)

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