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

Question

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

anonymous · Answer

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

anonymous · Answer

but then we get x/0

anonymous · Answer

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

anonymous · Answer

oh i get it

anonymous · Answer

$e^x$ 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 $-10000$

anonymous · Answer

we get -infinity/1

anonymous · Answer

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

anonymous · Answer

yeah looking at the graph makes it more clear thanks

anonymous · Answer

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

anonymous · Answer

right not one but a positive small number great