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5 Questions for Test I - Calculus I - Fall 2008 | MATH 165, Exams of Calculus
Material Type: Exam; Class: CALCULUS I; Subject: MATHEMATICS; University: Iowa State University; Term: Fall 2008;
Typology: Exams
Pre 2010
1 / 4
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Download 5 Questions for Test I - Calculus I - Fall 2008 | MATH 165 and more Exams Calculus in PDF only on Docsity! Math 165 F3. Test 1 (9/26/2008) Name: Show all your work. No credit is allowed for mere answers with no work shown. 1. (24 points) Evaluate the following limits: (a) lim z→2 √ z −√2 z2 − 5z + 6 (b) lim z→3− √ z −√2 z2 − 5z + 6 (c) lim x→0 3x cos 2x sin 5x (d) lim x→∞ 3x2 + x√ 2x4 + 1 2 2. (16 points) Let f(x) = −2x if x ≤ 0, 2x2 − 3 if 0 < x ≤ 2, 4 x + 3 if x > 2. Is the function continuous at the points 0 and 2? Justify your answer. 3. (20 points) Use the definition of the derivative to compute d dx [ 1 2x ] .