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Find the minimum possible value of \(\displaystyle\frac{\text{Im}(z^5)}{(\text{Im}(z))^5}\), where \(\text{Im}(z) \not= 0\).

 Dec 21, 2019
 #1
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The minimum value is 1, which you get for z = i.

 Dec 21, 2019
 #2
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 Dec 21, 2019

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