MATH 181 Study Guide - Final Guide: Absolute Convergence, Ratio Test, Improper Integral
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Problem 1 solution: find the limit of the following sequences as n . (a) an = 2n4 + n2 10 (b) bn = n + sin(n) Solution: (a) we proceed by multiplying the function by 1. 4 divided by itself and then use the fact n that lim n c np. = 0 for any constant c and any positive number p. lim n an = lim n lim n an = lim n . 2 + 0 0 lim n an = 2 (b) we begin by multiplying the given function by 1. 2 divided by itself. n lim n bn = lim n n + sin(n) 2 n lim n bn = lim n . We know that the limits of 1 lim c n n np. = 0 for any constant c and any positive number p. and 1 n. 2 as n are both 0 using the fact that.
