MATH 19 Study Guide - Midterm Guide: Asymptote, Scilab

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9 Jan 2019
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This is a closed book and closed notes exam. Calculators and any electronic aid are not allowed. For each problem, you should write down all of your work carefully and legibly to receive full credit. When asked to justify your answer, you should use theorems and/or mathematical reasoning to support your answer, as appropriate. I understand and accept the provisions of the stanford honor code. Throughout, let a and c be real numbers, and suppose that both lim x a f (x) and lim x a g(x) exist. 1. lim x a (f (x) + g(x)) = lim x a f (x) + lim x a g(x) , provided that lim x a g(x) 6= 0. 6. lim x a (f (x))n = (lim x a f (x))n, for n a positive integer. Problem 1 : (20 points) evaluate the following limits, if they exist.