Prove for all Z E C(adsbygoogle = window.adsbygoogle || []).push({});

|e^{z}-1| [itex]\leq[/itex] e^{|z|}- 1 [itex]\leq[/itex] |z|e^{|z|}

I think this has to be proven using the triangle inequality but not sure how.

Please help. :)

thanks

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# Complex analysis inequality proof

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