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prove-that-lim-z-0-z-2-z-2-1-since-z-x-iy-




Question Number 130324 by mohammad17 last updated on 24/Jan/21
prove that lim_(z→0)  (z^2 /(∣z∣^(  2) )) =−1 since z=x+iy
$${prove}\:{that}\:{lim}_{{z}\rightarrow\mathrm{0}} \:\frac{{z}^{\mathrm{2}} }{\mid{z}\overset{\:\:\mathrm{2}} {\mid}}\:=−\mathrm{1}\:{since}\:{z}={x}+{iy} \\ $$

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