PROOF; COMPLEX ANALYSIS Show that the sequence {z_n} = {z_1, z_2, ...} is said to converge to...

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PROOF; COMPLEX ANALYSIS

Show that the sequence {z_n} = {z_1, z_2, ...} is said to convergeto the complex number w if and only if the sequence of realand imaginary parts of z_n converge to the real and imaginary partsof w, repectively.

PLEASE DETAILED PROOF IS REQUIRED.

THANKS

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