1. Limits of Functions

2. For the above function if we were to put in x = 2 then we would have an undefined function

3. x
(x^2-4)/(x-2) 3 5
2.5
4.5
2.1
4.1
2.05
4.05
2.01
4.01
2.005
4.005
2.001
4.001 2
#DIV/0!
1.999
3.999
1.995
3.995
1.99
3.99
1.95
3.95
1.9
3.9
1.5
3.5 1
From above 2 and below 2 the value of f(x) is getting very close to 4 so 4 is its limit.

4. 4 2

5. does not exist because the left and right hand limits do not match!2 1 1 2 3 4
At x=1:
left hand limit
right hand limit
value of the function

6. because the left and right hand limits match.2 1 1 2 3 4
At x=2:
left hand limit
right hand limit
value of the function

7. because the left and right hand limits match.2 1 1 2 3 4
At x=3:
left hand limit
right hand limit
value of the function