MATH 1230 Midterm: Math 124.02 Brown Test1aSolutions 1
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Your answers will be evaluated on their correctness, completeness, and use of mathematical concepts we have covered. Please show all work and write out your work neatly. Answers without supporting work will receive no credit. The point values of the problems are listed in parentheses: (7 points each) using the properties of limits, evaluate the following limits if they exist. You may not use graphical or numerical evidence to support your answers; however, you may use such evidence to check your answers. If a limit fails to exist, please explain why in a sentence. (a) lim x 4. X + 12 4 x 4 (b) lim x x2 + 3x + 1. 4x4 + 7x2 + 3 (c) lim x 2+ x2 3x 4 x2 6x + 8 (d) lim x 0 x2 cos(cid:18) 1 x(cid:19: consider the function graphed below. y. Find a value for the constant c so that f (x) is continuous at x = 3.
