# Limit prob.

1. Jan 17, 2005

### Physicsisfun2005

Not sure if there is and answer

$$\lim_{n\rightarrow \o}\frac{1}{x}^x$$

i suck at latexing lol.....liimit approaching zero from the right i think....and its (1/x)^x......the quantity to the x power.
.........i don't think i can use L'Hopitals rule.........so how do i solve it?

Last edited: Jan 17, 2005
2. Jan 17, 2005

### HallsofIvy

Staff Emeritus
(I assume it is x going to 0, not n!)

Sure you can use L'Hopital's rule. This is a (infinity)0 form so let y= (1/x)x. ln(y)= x ln(1/x)= -xln(x) and you can write that as $-\frac{ln x}{\frac{1}{x}}$. Apply L'Hopital's rule to that. Whatever you get for ln y, the limit of the original problem is the exponential of that.

3. Jan 17, 2005

### Physicsisfun2005

i got 1 as my answer............is that right?

Last edited: Jan 17, 2005