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ksandoval
 3 years ago
how do you find the limit of this (attached) algebraically?
ksandoval
 3 years ago
how do you find the limit of this (attached) algebraically?

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ksandoval
 3 years ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow \pm \infty} \frac{ x^4 + x^3 }{ 12x^3 + 128 }\]

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0numerator is larger than the denominator, so no limit or you could say \(\infty\) as \(x\to \infty\) and \(\infty\) as \(x\to \infty\)

jamesumner93
 3 years ago
Best ResponseYou've already chosen the best response.2you 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

ksandoval
 3 years ago
Best ResponseYou've already chosen the best response.1oh. thats all you do? okay! so what if the denominator was larger?

jamesumner93
 3 years ago
Best ResponseYou've already chosen the best response.2then it would be 0

jamesumner93
 3 years ago
Best ResponseYou've already chosen the best response.2because 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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