Find this limit without L'Hopital's Rule

  • Thread starter htoor9
  • Start date
  • #1
17
0

Homework Statement



L'Hopital's rule does not help with this limit. Find it some other way. lim (squarert(x)/squarert(sinx)) as x -> 0+

Homework Equations



None?

The Attempt at a Solution



The only way I can think of solving this is by using L'Hopital's rule...but it obviously isn't working. How else can I find this limit?
 

Answers and Replies

  • #2
35,287
7,140

Homework Statement



L'Hopital's rule does not help with this limit. Find it some other way. lim (squarert(x)/squarert(sinx)) as x -> 0+

Homework Equations



None?
There are at least a couple of limits that are relevant.
[tex]\lim_{x \to 0} \frac{sin(x)}{x} = 1[/tex]
[tex]\lim_{x \to a} f(g(x)) = f(\lim_{x \to a} g(x)), \text{provided that f is continous at g(a)}[/tex]

The Attempt at a Solution



The only way I can think of solving this is by using L'Hopital's rule...but it obviously isn't working. How else can I find this limit?
 
  • #3
hunt_mat
Homework Helper
1,745
26
Expand sin x as a power series...
 

Related Threads on Find this limit without L'Hopital's Rule

Replies
8
Views
1K
  • Last Post
Replies
3
Views
1K
Replies
21
Views
6K
Replies
3
Views
1K
  • Last Post
Replies
10
Views
795
  • Last Post
Replies
8
Views
2K
Replies
2
Views
1K
  • Last Post
Replies
7
Views
1K
  • Last Post
Replies
6
Views
4K
Top