Limit Question: My Attempt at Solving It

[transgalactic]

the question and how i tried to solve it
in this link:
http://img368.imageshack.us/img368/6763/99124375pc4.gif

i don't know how
??

 

[Mark44]

The limit is apparently -1/4 (using Excel), but I don't yet see a way to prove this. I've tried factoring x^(1/2) out of the three radicals, but this gives me the indeterminate form [infinity * zero]. I'm thinking that L'Hopital's Rule might be helpful, but it hasn't been so far.

 

[transgalactic]

i tried to solve it many times
its not working

??

 

[blerg]

i just worked it out. had to factor out a sqrt(x) of the radical and then use l'hospital's rule twice.