Toronto Math Forum
MAT3342018F => MAT334Lectures & Home Assignments => Topic started by: Min Gyu Woo on September 14, 2018, 11:28:19 AM

For the example with $z^3  3z$
Where did the $M$ come from?
Also what limit were we computing with the function $f(z) = z^3  3z$?
Also why is $z^2 +zz^{*}+z^{*2}$ less than or equal to $3M^2$ ?

We fixed $z^*$, and $\varepsilon>0$. Then we pick up any $M\ge z^*+\varepsilon$. Then $z^*\le M$, and $z\le z^*+zz^*\le M$.