e) converges to a limit L that lies in the interval [p- 1/2, p+1/2. If (an) is Cauchy and p is a number such that for all k EN, Jar – pl < 1/2, then (a,) If (an) is Cauchy and p is a number such that for infinitely many values of k, f) Jak - pl < 1/2, then (an) converges to a limit L that lies in the interval [p- 1/2, p+1/2).

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.