MIDTERM EXAM 1 Math 19A - Mathematics 1-2-3

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8. (15 points) Use the appropriate limit laws and knowledge about specialsin xlimits such as lim = 1 to find the following limits. Justify yourx−→0 xanswer and if a limit does not exist, explain why.(a) (3 points)limx−→∞3x 2 + 12x 3 + 5x − 1(b) (4 points)lim x sin xx−→∞(c) (4 points)√lim 4x2 + x − 2xx−→∞(d) (4 points) limh−→0cos h − 1h7

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sin =35 37 , tan =12 37 , csc = 1 cos =37 35 , cot =37 12 , sec = 1 sin ...

aba = 5, 1, 6 b = 1, 0, 3 ab = 3, 21, 1 ab = 1, 1, 9 ab = 6, 5, 1 ab = 3 ...

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aba = 5, 1, 6 b = 1, 0, 3 ab = 3, 21, 1 ab = 6, 5, 1 ab = 21, 1, 3 ab = 1 ...

6. (10 points) Compute the equation of the tangent line to the curvey = 7e x cos xwhen x = 0. Give your answer in the form y = mx + b.7. (10 points) At what point(s) on the curve y = x 3 − 6x 2 + x + 5 is thetangent line parallel to the line with equation x − y = 7?6

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Page 3: 2. (10 points) An object with (cons

MIDTERM EXAM 1 Math 19A - Mathematics 1-2-3

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