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Unformatted text preview: Final Exam SAMPLE Note: Please be aware that the number of questions and the mark distribution will be different on the actual final exam. 1. Define the following terms: [14 marks] (a) Limit (b) Function continuous at a number (c) Function continuous on an interval (d) Tangent line (e) The derivative of a function at a number (f) Function differentiable on a set (g) The number e (h) Differential (i) Absolute maximum (j) Local maximum (k) Critical number (l) Function concave upward (m) Inflection point (n) Antiderivative of a function 2. State the following theorems: [14 marks] (a) The Squeeze Theorem (b) The Intermediate Value Theorem (c) The Extreme Value Theorem (d) Fermat’s Theorem (e) Rolle’s Theorem (f) The Mean Value Theorem (g) L’Hospital’s Rule 1 3. Give an example for the each of the following: [16 marks] (a) Function with an infinite number of vertical asymptotes (b) Function F = f · g so that the limits of F and f at a exist and the limit of g at a does not exist....
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This note was uploaded on 06/27/2010 for the course ECONOMCIS Econ103 taught by Professor D.allen during the Winter '08 term at Simon Fraser.
- Winter '08