# Math Help - limit as x approaches 0 of xlog(x)

1. ## limit as x approaches 0 of xlog(x)

$\lim_{x \to 0}(xlogx)$

How do I go about rearranging xlogx in order to not have something undefined when I sub in x = 0? The only thing I can see to do is write it as:

$logx^x$

which is equally useless. I'm stuck on what to do with this one, any direction would be greatly appreciated.

Is this the time to use L'Hospitals?

Thanks.

2. ## Re: limit as x approaches 0 of xlog(x)

Originally Posted by terrorsquid
$\lim_{x \to 0}(xlogx)$

How do I go about rearranging xlogx in order to not have something undefined when I sub in x = 0? The only thing I can see to do is write it as:

$logx^x$

which is equally useless. I'm stuck on what to do with this one, any direction would be greatly appreciated.

Is this the time to use L'Hospitals? Yes. Write it as $\color{red}\lim_{x\to0}\frac{\log x}{1/x}$ and use l'Hôpital.

Thanks.
..