Question

the limit of logarithms?

Answer 1

if you have a limit of logarithms you could move the limit inside?

Answer 2

ex: \[\lim_{x \rightarrow \infty}\ln((x+1)/(x-1))\]

Answer 3

then you just move the limit inside? the natural log function??

Answer 4

yeah but then you are going to get infinity/infinity, an indeterminate form. You must use l'Hospital's rule for indeterminate forms.

Answer 5

yeah thats what i was wondering earlier in my previous question. thanks!!!

Answer 6

np. You should get (after taking the derivative of the numerator and the derivative of the denominator:\[\lim_{x \rightarrow \infty}\ln \frac{1}{1}=0\]