Limit of sqrt(x^2 + x) - x as x Approaches Infinity

  • Level: Undergrad 
  • Thread starter Thread starter grothem
  • Start date Start date
  • Tags Tags
    Limit
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
2 replies · 2K views
grothem
Messages
21
Reaction score
0
lim sqrt(x^2 + x) - x as x approaches infinity

Not sure what I need to do. I tried to make it into a fraction so I could apply L'Hospital's rule but I didnt' get anywhere with that. Any ideas?
 
Physics news on Phys.org
[tex]1=\frac{\sqrt{x^{2}+x}+x}{\sqrt{x^{2}+x}+x}[/tex]
 
Yeah like arildno suggested you need to rationalize the expression by multiplying with what post #2 suggests!