Question

True or false? L'Hopital's rule does not apply to the following function (click to see).

Answer 1

\[\lim_{x \rightarrow -\infty}\frac{ lnx}{ x} \]

Answer 2

lnx is undefined if x<0 right, so my guess is that the statement is true...

Answer 3

I think you're correct. Since the natural log is undefined for negative numbers, the limit as x goes to -infinity of ln(x) is undefined, so you can't use L'hopitals.

Answer 4

ok thank you

Answer 5

You're welcome.