MATH128 Study Guide - Final Guide: List Of Trigonometric Identities, Conditional Convergence

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Calculus ii : practice nal (calculators and textbooks are not allowed during the exam. : evaluate the integral (cid:90) 3w 1 w + 2 dw, find the value of p for which the series is convergent. (cid:88) n=1 ln n np : find the surface area of the surface obtained by rotating (cid:112) 0 x 1 y = about the x-axis. (cid:88) n=1 n=1 ( 1)n n + 1 ( 1)n 1. Calculus ii: suppose that(cid:80) n=0 cnxn converges when x = 4 and diverges when x = 6. 2 (a) (b) (c) (b) in fact: find the radius of convergence and interval of convergence of the series f (x) = 9. (a) find the radius of convergence and interval of convergence of the seires cn cn8n cn( 3)n n=0. (cid:88) (cid:90) n=0 xn n! e x2 dx. for x in the interval of convergence obtained in (a).