LIMIT AND CONTINUITY WORKSHEET
LIMITS & CONTINUITY (1.7 & 1.8) NAME____________________________
1. Find each limit. Include a table of values to illustrate your answer. Include two tables if you need to consider a two sided limit.
A. [pic] B. [pic]
C. [pic] D. [pic]
2. Find each of these limits. Use the limits to sketch a graph. Be sure to include any asymptotes, holes, or other important characteristics.
[pic]
[pic] [pic]
[pic] [pic]
[pic]
3. Find each of these limits. Use the limits to sketch a graph. Be sure to include any asymptotes, holes, or other important characteristics.
[pic]
[pic] For [pic]
[pic] For [pic]
4. Find each of these limits. Use the limits to sketch a graph. Be sure to include any asymptotes, holes, or other important characteristics.
[pic]
[pic] [pic]
5. Find the value of k that would make the function continuous in each case.
A. [pic] B. [pic]
6. Find the value of k that would make the limit exist. Find the limit.
A. [pic] B. [pic]
7. In each case sketch a graph with the given characteristics.
A. [pic] is undefined and [pic]
B. [pic] and [pic] does not exist.
C. [pic] and [pic]
-----------------------
[pic]
-6
6
y
-6
6
x
................
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