MATH 205 Midterm: MATH 205 Louisville Exam 3 150417
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For full credit show all of your work (legibly! Algebraic and trigonometric simpli cation of answers is generally unnecessary: (12 points) answer the following questions about approximation with newton"s method: (a) (6 points) starting with an initial value of 1, use two iterations of newton"s method. Your answer need not be arithmetically to approximate a zero of f (x) = x4 simpli ed. (b) (6 points) choose 3 to be an initial approximation of. Exam #3: (23 points) evaluate the following limits; if they cannot be evaluated, show why not. (a) lim x 0 x3. 2ex 2 2x x2 . (b) lim x 0+ (ln x)(sin x). 4+ t . (c) lim t 16 ln q q2 (d) lim q (e) lim s e s arctan s . 2: (17 points) answer the following questions: (a) (9 points) given that g (x) = 5x4.
