MATH 1200 Midterm: Midterm 1 2014

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For each of the following, please ll in your nal answer in the box provided at the right side of the page. Solve for x if 2 3x + 1 5. Suppose lim x 0 f (x) = 6 and lim x 0 g(x) = 3. True or false: if lim x 0 f (x) = 0 and lim x 0 exist. g(x) = 0, then lim x 0(cid:18) f g(cid:19) (x) cannot. True or false: the function f (x) = x7 is monotone increasing for all x r. For questions a7 - a11, consider the following graph of the function f (x): For every n < 0 there exists > 0 such that if 0 < x + < , then tan(cid:16) x. For each of the following, please write your answer in the space provided. Part marks may be available if you show your work.