How do you find the limit #lnx/x# as #x->oo#?
2 Answers
Explanation:
If we evaluate the limit of the numerator and denominator separately we'll find that:
Therefore we have a ratio of two infinities
The limit approaches
For example, consider:
We can see that as the denominator gets larger and larger, approaching
Explanation:
The question is to find the value of
If we let
So now we can apply L'Hospital's rule by differentiating the numerator and denominator individually.
So,
Now we let
Therefore