Test 1-2007 - Math 202-01 Exam 1 Spring 2007 Name: ID:...

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Math 202-01 Exam 1 Spring 2007 Name: ID: Date: Directions: Please show all work unless specified otherwise. You may use a basic scientific calculator, but no graphing calculators. Use proper notation. Please show ID before you leave. 1. (15 pts) Using the graph of f ( x ), determine the following. Use ±∞ where appropriate. (a) lim x →- 2 - f ( x ) (b) lim x →- 2 + f ( x ) (c) lim x 1 - f ( x ) (d) lim x 1 + f ( x ) (e) lim x 3 - f ( x ) (f) lim x 3 + f ( x ) (g) lim x 1 f ( x ) (h) f (1) (h) Determine where f ( x ) is discontinuous. Justify your answer. (i) Determine where f ( x ) is not differentiable. Justify your answer.
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2. (15 pts) Evaluate the following limits. Show all of your work or justify your answers! (a) lim x 10 x 2 - 8 x - 20 x 2 - 11 x + 10 (b) lim x 1 f ( x ) where f ( x ) = ± x 2 + 4 x if x < 1 , 3 x 3 - x - 1 if x 1 . (c) lim x + 3 x 2 + 5 x 6 x + 1 3. (10 pts) Determine where the following functions are continuous. Classify any discontinuities as
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Test 1-2007 - Math 202-01 Exam 1 Spring 2007 Name: ID:...

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