## anonymous 3 years ago Common sense limit

1. anonymous

$\huge \lim_{x \rightarrow \infty} \frac{ \frac{ x^3 }{ x^3 } }{\frac{ x^2 }{ x^3 } -\frac{ 4 }{ x^3 } }$

2. zzr0ck3r

0 I think

3. anonymous

yes @zzr0ck3r is correct...the graph is asymptotic and looks much as so:|dw:1352777876926:dw|

4. anonymous

so as the number of 'people' $$x$$ increases, the amount of common sense $$y$$ approaches $$0$$

5. anonymous

concluding that there will always be common sense but it decreases steadily to a very minute amount, yet never reaching extinction :)

6. anonymous

but then i can't have a slant asymptote right ? @yummydum

7. anonymous

@yummydum helllpp

8. anonymous

well that was just logic....if you solve the equation you mentioned you get a slant asymptote of $$y=x$$ ... i would say to consider the original problem again because LOGICALLY speaking there is not a $$positive$$ asymptote because that would mean that humans are have increasing common sense which evidently is absolutely NOT the case (just take a look around lol) ...hope im being helpful here :)