SOLUTION: If |z|<0.5, show that|(1+i)z^3+iz|<0.75 Thanks!! :)

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Question 940979: If |z|<0.5, show that|(1+i)z^3+iz|<0.75
Thanks!! :)
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Note that by the triangle inequality.

Since , it follows that and , and since , we have . Combining,