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If |z1|=|z2|=|z3|=...=|zn|=1 then prove that ∣∣∣1z1+1z2+1z3+...+1zn∣∣∣=|z1+z2+z3+...+zn|.

Answer» If |z1|=|z2|=|z3|=...=|zn|=1 then prove that
1z1+1z2+1z3+...+1zn=|z1+z2+z3+...+zn|.


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