Saturday

February 28, 2015

February 28, 2015

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?

**Answer this Question**

**Related Questions**

calculus - sorry to ask a second question so soon, but i'm just not getting this...

Calculus 1 - Find the derivative of y with respect to x. y=(x^6/6)(lnx)-(x^6/36...

College Calc - Problem: y=sqrtx ^1/x. Find DY/DX. ln(f(x))=lnx^1/2x or lnx to ...

calc - integral of 1 to e^4 dx/x(1+lnx) 1+lnx = a => dx/x = da dx/ x(1+lnx...

Calculus - Find the derivatives, dy/dx for the following functions. a. x^2y^4 = ...

calculus - The limit as x approaches infinity of (e^x+x)^(1/x). I got that it ...

Math - Find the coordinates of the turning point and determine wether it is ...

math - how would you solve for y in this problem: ln(y-1)-ln2 = x +lnx ln(y-1)-...

Calculus - L'Hospital's Rule Lim(lnx)^(x-1) x->1+ This is what I did so far...

calculus - (a) find the intervals on which f is incrs or decrs. (b) find the ...