MATH 111 Midterm: MATH 111 Amherst F13M111 28shortversion 29AllSections

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Math 111, introduction to the calculus, fall 2011. You have 3 hours for the exam and are not allowed to use books, notes, calculators, cell phones or any other aid. Name: you should explain your answers clearly, showing all necessary work, answers involving sine, cosine or tangent of angles that are multiples of , should be evaluated exactly. 6: follow directions carefully. de nition, then you must use it in order to get credit. If the question tells you to use a particular method or: the total number of points available is 150, (5 points each) calculate each of the following limits. You should say if the limit is equal to a particular value, is or if it does not exist. (a) lim x 0. [ln(x2 1) ln(x2 + x 2)] (c) (b) lim x 9 lim x lim x 1+ (d) 1 x: (5 points each) calculate each of the following derivatives: (a) f (t) where f (t) =