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

  • Thread starter Thread starter grothem
  • Start date Start date
  • Tags Tags
    Limit
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
1=\frac{\sqrt{x^{2}+x}+x}{\sqrt{x^{2}+x}+x}
 
Yeah like arildno suggested you need to rationalize the expression by multiplying with what post #2 suggests!
 

Similar threads

MHB Is the Limit of 5/(x^2 - 4) as x Approaches 2 from the Right Positive Infinity?
Replies
5
Views
1K
MHB Is the Limit of 1/(x^2 - 9) as x Approaches -3 from the Left Positive Infinity?
Replies
5
Views
1K
MHB What is the Limit of (3x)/(x-2) as x Approaches 2 from the Left?
Replies
5
Views
1K
MHB Find the limit as x goes to infinity
Replies
5
Views
2K
MHB How to Find the Limit of (1 - x)/[(3 - x)^2] as x Approaches 3?
Replies
5
Views
1K
B Question about the limits of integration in a change of variables
Replies
2
Views
3K
I A question about limits and infinity
Replies
7
Views
2K
I A limit as t-->0 of log(t) / SQRT(t)
Replies
17
Views
2K
I Is it possible to find the limit of (1+1/x)^x as x approaches -infinity?
Replies
25
Views
6K
I Determining the Rate at Which Functions approach Infinity
Replies
3
Views
9K

Hot Threads

Recent Insights

Back
Top