MATH 31B Study Guide - Final Guide: Limit Of A Sequence, Improper Integral, Partial Fraction Decomposition
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Do not use your own scratch paper: multiple choice. (2 points each) circle the correct answer. You do not need to justify your answer, and no partial credit will be given. 2nn! (i) the in nite series n=0 (a) converges to e2 (b) converges to e1/2 (c) converges to 2 (d) diverges to in nity (e) none of the above. (ii) the interval of convergence of the power series. } converges an (e) none of the above need to be true. (iv) for 0 < p < 1, the alternating p-series. (cid:88) n=0 n=0 n=0 (a) (b) (c) (d) (e) ( 1)nx2n ; ( 1)n xn n! ( 1)n(n + 1)xn ; ( 1)n x4n+1. 2n + 1 i g e a c n=0. 1 + x 2 x 3 lim x 3 (cid:16) lim x . = lim x 3 (b) let f (x) = (1 + 1/x) x2.
