## ksandoval Group Title how do you find the limit of this (attached) algebraically? one year ago one year ago

1. robinfr93 Group Title

attached??

2. ksandoval Group Title

$\lim_{x \rightarrow \pm \infty} \frac{ x^4 + x^3 }{ 12x^3 + 128 }$

3. satellite73 Group Title

numerator is larger than the denominator, so no limit or you could say $$\infty$$ as $$x\to \infty$$ and $$-\infty$$ as $$x\to -\infty$$

4. jamesumner93 Group Title

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

5. ksandoval Group Title

oh. thats all you do? okay! so what if the denominator was larger?

6. jamesumner93 Group Title

then it would be 0

7. jamesumner93 Group Title

because it would be like 1/2 , 1/4. 1/8, 1/16. 1/32, 1/64 (closer and closer to 0)