Cauchy sequences
Most of the sequence terminology carries over, so have \convergent series," \bounded series," \divergent series," \Cauchy series," etc. Special series. Some series are easy to handle. Geometric series: X1 n=0 rn = 1 1 r for \ratio" r with jrj< 1: Telescoping series: Given a convergent sequence fy ng h n2N!y, X1 n=h (y n y n+1) = y h Y since Xk ...
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