Find the limit of this function

  • Thread starter racer
  • Start date
  • #1
39
0

Main Question or Discussion Point

Hello there

Find the lim of this function using Algebra alone and without using
Newton Method or L'Hapital Rule, only Algebraic manipulation is allowed.

I have previously posted this lim but no one did solve it algebriaclly, I solved it using
Algebra and uploaded the solution.

Lim [tex]\frac{^3\sqrt{x}- 4}{\sqrt{x}- 8}[/tex]
X ---> 64

The solution
http://img3.freeimagehosting.net/image.php?ae06b74212.jpg [Broken]
 
Last edited by a moderator:

Answers and Replies

  • #2
441
0
Thanks for the update, although I must have missed the original post. It is quite obvious to me that you would want to factor using the difference of two squares/cubes rule as you have 4 (a perfect square) and 8 (a perfect cube). The only thing that might make one hesitate is that instead of using x^2 and x^3 for the numerator and denominator respectively they use x^(1/3) and x(1/2).
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,792
920
That's impressive! Of course, using L'Hopital's rule (which, I notice, you are not allowed to do) would make it fairly simple.
 
Last edited by a moderator:

Related Threads for: Find the limit of this function

  • Last Post
Replies
10
Views
5K
Replies
4
Views
2K
Replies
2
Views
6K
Replies
1
Views
1K
Replies
4
Views
13K
Replies
1
Views
4K
Replies
4
Views
566
Top