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