MA122 Study Guide - Final Guide: Alternating Series, Conditional Convergence, Nth Root

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25 Sep 2016

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A sequence is a list of numbers that occur in a particular order. If the limit exists, the sequence converges, otherwise it diverges. If for every there is a corresponding integer n such that if n>n, then | | If and , where n is an integer, then denotes that for every positive real number m, there is a positive integer n such that if n > n, then (n is a positive integer) a. k. a. If { } and { } are convergent sequences and c is a constant, then. If and the function f(x) is continuous at x = l, then. A sequence { } is increasing if for . A sequence is monotonic if it is either increasing or decreasing. A sequence { } is bounded above if there is a number m such that for all . It is bounded below if there is a number m such that for all .

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