Limit Problems
1Using the definition of a limit, prove that:
2Using the graph of the function f(x), determine the following limits.
3Using the definition of a limit, prove that:
has limit −1 as x 
0
Calculate the Following Limits:
4
5
6
7
1
Using the definition of a limit, prove that:
To check this, take a ε = 0.01.
For x = 0.995 f(x) = (0.995 + 3)/2 = 1.9975.
For x = 1.015 f(x) = (1.015 + 3)/2 = 2.0075.
2
Using the graph of the function f(x), determine the following limits.
3
Using the definition of a limit, prove that:
has limit −1 as x 0
Left side limit.
Right side limit
5
Calculate the limit:
6
Calculate the limit:
7
Calculate the limit:
