
limit help
I have the limit as x goes to 1 (1/lnx  x/x1)
I am seeing a lot of these limits, with two different fractions. Is a good strategy finding a common denonometer and making it into one fraction? Then use Lhosipatals rule if it applies to find the limit? That is what im trying to do but I am not getting the answer in the book.

Rewrite as:
L'Hopital gives:
L'Hopital again:

Quote:
Originally Posted by
galactus
Rewrite as:
L'Hopital gives:
L'Hopital again:
How did you rewrite that fraction? I dont see that.

That's just what you would do if you were subtracting. Basic algebra.

Quote:
Originally Posted by
galactus
Rewrite as:
L'Hopital gives:
L'Hopital again:
When you take the derivative of (xln(x) + x  1)/xln(x)  ln(x) I am getting
(x  ln(x))/x+ln(x)(1/x)
What am i doing wrong? EDIT NVM i forgot a 1
lol.

Yeah, the biggest trouble with calc is the algebra. It can be tricky and easy to 'flub up'. :)