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Unformatted text preview: Math 151, Fall 2009, Review Problems for Exam 2 Your second exam is likely to have problems that do not resemble these review problems. Partial answers to these problems will be posted in a few days. (1) Find lim x 1 2 x 4 3 x 3 + x 2 x + 1 x 4 3 x 3 + 2 x 2 + x 1 . (2) Find lim x x sin x x x cos x . (3) Find the horizontal asymptotes of f ( x ) = x 7 x 2 + 1 . (4) For each function given below, find the intervals where it is increasing, the intervals where it is decreasing, the intervals where it is concave up, the intervals where it is concave down, the local maxima, the local minima, the inflection points, the horizontal asymptotes and the vertical asymptotes. (a) f ( x ) = x 2 x 2 4 (b) g ( x ) = x x 2 4 . (5) For the function f ( x ) = x 5 3 x 3 + 4 x , find the intervals where it is increasing, the intervals where it is decreasing, the intervals where it is concave up, the intervals where it is concave down, the local maxima, the local minima and the inflection points....
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 Spring '08
 sc
 Math

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