Question

Limit as x approach 0+ of √x lnx

Answer 1

can you use l'hopital?

Answer 2

is it \[\sqrt{x}\times \ln (x)\] or \[\sqrt{x \times \ln x}\]

Answer 3

usual gimmick it to rewrite as
\[\frac{\ln(x)}{\frac{1}{\sqrt{x}}}\] and then use l'hopital

Answer 4

\[\sqrt{x} lnx \]

Answer 5

I've tried with L'hospital but am getting stuck in the work

Answer 6

When I use L'hopital I get \[\lim_{x \rightarrow 0+} = -2\times \sqrt{x} = 0\]
and when I graph it on my TI I get the same

Answer 7

thank you :)