MATH117 Study Guide - Final Guide: Binomial Coefficient, Triangle Inequality, Bounded Function
28 Feb 2018
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Because : find the limits of, common mistake can only conclude. If b > 1 and m = 0 or . Take the first 5 terms, and the rest of the terms are of them are less than the other one before it, this sequence is decreasing. as they are factors. Dominated by a sequence to zero , by domination principle . However, if none of the above 3 is true, it is . Oscillating, then does not exist (d. n. e. ) If m is decreasing, limit of . Is monotone and bounded. is increasing (and bounded above) As a theory, it is helpful to find whether a sequence converges or not. It is not useful in finding the limit: let . Determine whether it converges; find the limit if it does. We use mct (monotone convergence theorem) converges. In sequence then all the terms in this tail are within from each other.
