MATH 2250 Final: MATH 2250 UGA Student Rev Final Fa 18

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31 Jan 2019
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Exam date/time: thursday, december 6, 7:00 p. m. - 10:00 p. m. The (limit) de nition of the derivative of f (x) The de nition of continuity at x = a. Theorems to use but not state (if you use one, say you are using it): Fundamental theorems of calculus (part 1 and part 2) Other precalculus-level formulas (in addition to those listed below) Be able to nd the limits and one-sided limits of functions (even if not continuous), both analytically and graphically. Find limits that approach in nity or have an in nite limit. Determine horizontal asymptotes and vertical asymptotes of a function; justify your answer using one or more limits. Be able to use l"hopital"s rule to nd limits (and identify and state the appropriate inde- terminate forms that allow you to do so) Applications of continuity, including the intermediate value theorem. Determine intervals on which a function is continuous.