Question

lim sqrt(x) * ln(x) as x->0+
can someone help and explain this to me?

Answer 1

I know its an indeterminate product, but I don't know where to go once I get (sqrt x) / (1/ln x)

Answer 2

do you know l'hospital rule?

Answer 3

yes, I understand the setup for it meaning If I have f(x)*g(x) with an indeterminate product I get sqrtx/(1/ln x) then I am suppose to take derivative according to l'hospital rule

Answer 4

I got as far as to (1/(2sqrt x)) / (1 / x ln x^2)

Answer 5

why don't you do it the other way instead?

Answer 6

it might be easier ;)

Answer 7

whats the other way ?

Answer 8

Do ln(x)/(x^(-1/2))

Answer 9

much easier

Answer 10

You just need one round of l'hospital then use some algebra to clean up

Answer 11

I am trying to work it out, but I think I may be on to something so thanks! .... I forgot completely about you can try it the other way.

Answer 12

Ok I will be back later if you have more questions

Answer 13

K great. So far I got its Zero!