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Limit question

  • Thread starter moberry
  • Start date
3
0
1. Homework Statement

lim sqrt(x^2-9)
x->3


2. Homework Equations

I understand that the radical will evaluate to 0. I am not sure if the answer to the limit is 0, or undefined


3. The Attempt at a Solution

lim sqrt((3)^2-9) = sqrt(9-9) sqrt(0) = 0
x->3


Thanks for your help.
 

Answers and Replies

Hootenanny
Staff Emeritus
Science Advisor
Gold Member
9,598
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What is the requirements for a limit to exists?
 
3
0
What is the requirements for a limit to exists?
The limit coming from both sides, must approach the same y-value. In this case 0. The function will never hit 0, but will get infinitely close. That would make the value of the limit 0??
 
Hootenanny
Staff Emeritus
Science Advisor
Gold Member
9,598
6
The limit coming from both sides, must approach the same y-value. In this case 0. The function will never hit 0, but will get infinitely close. That would make the value of the limit 0??
Correct :approve:
 
3
0
Correct :approve:
Good deal. I thought that was it. Wanted to be 100% sure.
 

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