# Jason Grout

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courses:calculus_i:spring_2010:tests
##### Test 1

Here are objectives for test 1. Your lesson plan should cover these objectives.

1. Limits
1. Estimate a limit graphically
2. Explain what a limit is
3. Evaluate a limit:
1. of a continuous function
2. using dividing and rationalizing techniques
3. using the Squeeze theorem
4. using the trig fact about the limit of sin(x)/x as x approaches 0
5. an infinite limit (i.e., a limit which is equal to infinity or negative infinity)
2. Continuity
1. Definition of a continuous function
2. Know the types of discontinuities
3. Determine if a function is continuous, and if not, what type of discontinuity there is
4. Redefine a function that has a removable discontinuity to remove that discontinuity
3. Understand and use the Intermediate Value Theorem
4. Find a sketch vertical and horizontal asymptotes of a graph