MATH 19 Midterm: MATH 19 Exam 1 Winter 2012 2
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Unless otherwise stated, you may use any results from class or from sections 1. 1 - 2. 3 of the book that you like. If you use a result, be sure to verify the hypotheses are satis ed. (2) this is a closed-book exam. Basic limit laws suppose that c is a constant and the limits lim x a f (x) and lim x a g(x) exist. Problem 2. (1) give an example of an even function. Explain why it is even. (2) draw the graph of a function which is neither even nor odd. Justify your answer. (3) give an example of a function which is increasing on the interval [0, 2]. Use only the basic limits and basic limit laws (given above) to calculate the following limits. (1) (2) lim x 0. 5r x2 + 64 x4 + 2 lim x 0.