Question

find me that limit please:

limit x*ln^3(x) as x->0+

show the used method if possible!

Answer 1

0??

Answer 2

is that (ln x)^3 ??

Answer 3

use L'hospital rule!!
put x = 1/(1/x)

Answer 4

but still wont get rid of the power!!

Answer 5

try 3 times

Answer 6

what about using nth root since we have 3 as a power!

Answer 7

since it is a limit ... i think it should work out fine ... better elegant than the method i suggested

\[ \left ( \lim_{x->0}\frac{\ln x}{(1/x)^{1/n}}\right )^n\]

Answer 8

Oh ... sorry ... that n is 3

Answer 9

yep i know thank's :D