PHYS 116A Midterm: Physics 116A Midterm 1 2006

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31 Jan 2019
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Here is a collection of practice problems suitable for the rst midterm exam. The exam will cover material from chapters 2 and 3 of mcquarrie and the rst three homework sets: evaluate the following limits: (a) lim. 1 x 0 1 + x x sin x , N2 + 3n n , (b) lim n (c) lim n . (n) : find the radius of convergence of the following three series: (a) 5n(n2 + 1: the taylor series about x = 0 for some function is given by: f (x) = In case (c), compute the sum of this series (if this series is convergent). ( 1)n n ( 1)n. Xn=1 n + 1 (b) (c: (a) the integral. (x, y) z y e t tx 1 dt , x, y > 0 , is called the complementary incomplete gamma function.