December 16th, 2016, 11:54 AM  #11 
Senior Member Joined: Sep 2016 From: USA Posts: 504 Thanks: 283 Math Focus: Dynamical systems, analytic function theory, numerics 
What you have written is just the derivative of $f(x) = \sqrt{x}$ for $x = 3$. L'Hospital's rule is not only unncessary, it doesn't even apply since knowing it is applicable is equivalent to already knowing this limit. In any case, just compute $f'(3) = \frac{1}{2\sqrt{3}}$

December 16th, 2016, 02:08 PM  #12  
Banned Camp Joined: Jun 2014 From: Earth Posts: 945 Thanks: 191  Quote:
exponents where necessary, as in: Lim x > 1 (1 + x)^(1/x) . Last edited by Math Message Board tutor; December 16th, 2016 at 02:15 PM.  

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