Complex Analysis Episode 5: Triangle Inequality and Upper Bounds

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[edwinurgel]

How about the lower bound with 3 or more terms? What about if we do |a+b|+|c| rather than |a|+|b+|c|?

[ratnakaramsravanti]

Find an upper bound for the reciprocal of the modulus of z4−5z2+6 if |z| =2. Could you please this question without factorising it ?

[emmawilliams]

I know this was forever ago but what would you do if you had a similar question but your (z)<=1 was (z-i)<=1

[moosaraza]

why you didn't find the lower bond?

[chandanadebnath]

Find the upper bound of the function |z-2/z2+2iz-3| when |z|<1/2 please do the sum

[sumiranchettri]

Upper bound of |z-2|÷(|z^2+2iz-3|) for |z|<(1÷2) ??