MAT-1110 Final: MATH 1110 App State summer2012 Final Exam answer key
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Show your work: (21 points) all answers should either be , , a ( nite) real number, or dne ( does not exist ). (a) use the graph of the function to evaluate the limits. Then assuming the function is continous everywhere outside of the region graphed, determine where the function is continuous. lim x 1 lim x 1+ f (x) = f (x) = The limit from the left is clearly 5. The limit from the right is 15. f (x) = lim x 1 right limits don"t match. The limit does not exist because the left and lim x 2 f (x) = [do not use l"hopital"s rule while evaluating this limit. ] f (x) = lim h 0. = lim f (x + h) f (x) x2 + 2xh + h2 + 3x + 3h + 2 x2 3x 2 h(2x + h + 3 h.
