Friday 18 October 2019

calculus - Calculate the limit.

I am given the limit $ \lim_{x \to 0^{+}}\frac{\ln x}{\sqrt{x}} $.



As far as I am concerned $ \ln x \rightarrow - \infty $ and $\sqrt{x}\rightarrow 0 $ so I got $[\frac{-\infty}{0}]$ . What should I do next? Should I transform it and then use de l'Hospital rule? $[\frac{-\infty}{0}]$ is not indeterminate form so how should I deal with this?

No comments:

Post a Comment

real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...