Let z0 = co + iyo 7 0 be a given complex number. Define the sequence (zn),>o recursively by 1 Zn+1 n 20 - Show: If zn converges to a limit z, then 22 +1 = 0. If yo > 0, then lim,00 Zn = i. If yo < 0, then lim,0 Zn If yo = 0, xo + 0, then (zn),>0 is undefined or divergent. :-i.

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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.