Question

find limit: lim sqrt(x)ln(x)
x>0

Answer 1

0

Answer 2

this requires calculus
first, manipulate so it becomes lim(x>0) ln(x)/(sqrt(x))^(-1)
then do L'Hopital's rule and take the derivative of top and bottom.
you get lim(x>0) (1/x)/(-1/2x^(-3/2))

Answer 3

ugly,
but then simplify it to get lim(x>0) -2sqrt(x)
that will equal 0

Answer 4

On first try you get 0 times negative infinity. (Write that down you will see again lim x to zero of ln 0 is negative infinitiy.) However that is indeterminate form: apply l'hopital, try again.