limit to -inf [x^3/e^x]

[ahorn]

Hello
Could you please help me with this limit?
\(\displaystyle \lim_{x \to -\infty}\left(\frac{x^3}{e^x}\right)\)
My guess is \(\displaystyle -\infty\)

 

[HallsofIvy]

Hello
Could you please help me with this limit?
\(\displaystyle \lim_{x \to -\infty}\left(\frac{x^3}{e^x}\right)\)
My guess is \(\displaystyle -\infty\)

The numerator goes to \(\displaystyle -\infty\) while the denominator goes to 0 from above. Isn't it pretty easy to see what happens?

 

[ahorn]

The numerator goes to \(\displaystyle -\infty\) while the denominator goes to 0 from above. Isn't it pretty easy to see what happens?

Yes, I guess it is easy. It's just that I haven't encountered -infinity/0 before.