OpenStudy (anonymous):

Limis as x approaches negative infinity of : x/e^x= - infinity why ?

3 years ago
OpenStudy (anonymous):

because the limit $$x\to -\infty$$ of $$e^x$$ is $$0$$ through positive numbers

3 years ago
OpenStudy (anonymous):

but then we get x/0

3 years ago
OpenStudy (anonymous):

$$\frac{x}{0}$$ is not a number

3 years ago
OpenStudy (anonymous):

oh i get it

3 years ago
OpenStudy (anonymous):

$$e^x$$ gets smaller and smaller, by which i mean it gets closer and closer to zero, but of course is never actually equal to zero imagine it was $$0.001$$ $$x$$ is going to $$-\infty$$ and so imagine it is $$-10000$$

3 years ago
OpenStudy (anonymous):

we get -infinity/1

3 years ago
OpenStudy (anonymous):

no, not one in the denominator, a very very small positive number in the denomiator

3 years ago
OpenStudy (anonymous):

yeah looking at the graph makes it more clear thanks

3 years ago
OpenStudy (anonymous):

trying it with say $$x=-100$$ would give you a good idea too, and $$-100$$ is a small step on the way to $$-\infty$$

3 years ago
OpenStudy (anonymous):

right not one but a positive small number great

3 years ago