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If f(n) = sn, continuous, positive, decreasing: Taylor series if f(x) has a power series representation: F(x) = p∞ n=0 c n (x−a)n, where |x−a|< r then c n = f(n)(a) n! If all the terms snare positive.
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This cheat sheet is not intended to be a list of guaranteed rules to follow. P snconverges () r1 1. If the sequence fa ngdoes not.