L'Hospital's Rule

  • Thread starter phillyolly
  • Start date
  • #1
157
0

Homework Statement



lim(x→2)(x^2+x-6)/(x-2)

Homework Equations





The Attempt at a Solution



lim(x→2)(x^2+x-6)/(x-2)=lim(x→2)(d/dx(x^2+x-6))/(d/dx(x-2))=lim(x→2)(2x+1)/1=lim(x→2)(2x+1)=5

Is this a right solution? I have never done such before, so I am not sure in my answer.
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,263
619
It's fine if you've checked you have a 0/0 form to begin with. You could also factor x^2+x-6 and cancel the denominator to check.
 
  • #3
7
0
yeaa, it is a right way,absolutely.L'Hopital's Rule is for 0/0 and inf/inf.
 
  • #4
157
0
Thank you a lot, guys.
 

Related Threads on L'Hospital's Rule

  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
12
Views
2K
  • Last Post
Replies
21
Views
4K
  • Last Post
Replies
12
Views
1K
  • Last Post
Replies
12
Views
2K
  • Last Post
Replies
4
Views
3K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
3
Views
1K
Top