Question

lim (sqrt(x))(lnx)
x->0

Answer 1

that was wrong
rewrite as
\[\frac{\ln(x)}{\frac{1}{\sqrt{x}}}\] and use l'hopital

Answer 2

why is the limit as x->0 of lnx negative infinity?

Answer 3

do you know what the graph of \(y=\ln(x)\) looks like?

Answer 4

i guess the answer depends on the definition of \(\ln(x)\)
if the definition is the inverse of the exponential function \(e^x\) then it is minus infinity since as x to so \(-\infty\), \(e^x\) goes to zero