please help me with this prove problem
z1/z2+z3 <= |z1|/||z2|-|z3|| ; |z2|<>|z3|, z=x+iy
thanks.
If you mean:Originally Posted by unicorn
Prove that $\displaystyle \forall z_1, z_2, z_3 \in \mathbb{C}$:
$\displaystyle \frac{|z_1|}{|z_2+z_3|} \le \frac{|z_1|}{|\ |z_2|-|z_3|\ |}$?
Then it is sufficient to prove that:
$\displaystyle |z_2+z_3| \ge |\ |z_2|-|z_3|\ |$
RonL