stuart clark
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- Joined
- Mar 3, 2011
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- 25
If \(\displaystyle z\in\mathbb{C}\) and \(\displaystyle z<\frac{1}{2}\), then prove that \(\displaystyle \left|(1+i).z^3+iz\right|<\frac{3}{4}\)
stuart clark said:If \(\displaystyle z\in\mathbb{C}\) and \(\displaystyle z<\frac{1}{2}\)
stuart clark said:If \(\displaystyle z\in\mathbb{C}\) and \(\displaystyle z<\frac{1}{2}\), then prove that \(\displaystyle \left|(1+i).z^3+iz\right|<\frac{3}{4}\)