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August 23, 2014

August 23, 2014

Posted by **Anonymous** on Tuesday, October 18, 2011 at 7:13pm.

Here is my work...

=(lnx-(x-1)) / ((x-1)(lnx))

=(lnx-1) / (lnx+ (x+1)/x)

This becomes(1/x) / ((1/x)+(1/x^2))

which becomes 1/ (1/x^2)

This equals 1/2. I understand the answer has to be -1/2, but I am having trouble figuring out where that negative sign is coming from. What have I missed? Thank you in advance for your assistance.

- L'Hopital's rule -
**bobpursley**, Tuesday, October 18, 2011 at 8:14pm=(lnx-(x-1)) / ((x-1)(lnx))

How did you get to the next line?

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