Proof of Limit

  • Thread starter KF33
  • Start date
  • #1
19
0

Homework Statement


I have been working on the problem below and I am stuck. I am stuck primarily because of the part where is says x=0. If x-0, it should cancel everything out. The derivative of 0 is 0 so will cancel everything out I think, so I am not sure if that is the reasoning and the proof behind it.

Homework Equations




The Attempt at a Solution


I thought I should start this way, but I am not 100% sure.[/B]
upload_2016-6-26_20-51-50.png
 

Attachments

Answers and Replies

  • #2
SammyS
Staff Emeritus
Science Advisor
Homework Helper
Gold Member
11,358
1,031

Homework Statement


I have been working on the problem below and I am stuck. I am stuck primarily because of the part where is says x=0. If x-0, it should cancel everything out. The derivative of 0 is 0 so will cancel everything out I think, so I am not sure if that is the reasoning and the proof behind it.

Homework Equations



The Attempt at a Solution


I thought I should start this way, but I am not 100% sure.[/B]
View attachment 102534
It's a good idea to have the problem statement visible in the OP.

cap-2-png.102533.png
 
  • #3
James R
Science Advisor
Homework Helper
Gold Member
600
15
L'Hopital's rule?
 
  • #4
22,089
3,296
L'Hopital's rule?
Not necessary with the hint in the OP, the definition of a derivative is enough.
 

Related Threads on Proof of Limit

  • Last Post
Replies
10
Views
961
  • Last Post
Replies
1
Views
969
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
1
Views
1K
Replies
4
Views
911
Replies
1
Views
692
  • Last Post
Replies
9
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
6
Views
9K
  • Last Post
Replies
10
Views
2K
Top