Range of this function? (1 Viewer)

SlimiJay · Jun 17, 2016

what is the range of z=e^ix + i ?

please help im confused

thanks

InteGrand · Jun 17, 2016

SlimiJay said:
what is the range of z=e^ix + i ?

please help im confused

thanks

$\noindent I'm assuming the domain is all real $x$. In this case, as $x$ varies throughout the reals, $z$ just traces out a circle of radius 1 centred at $i$. So the range is $\left\{z \in \mathbb{C} : |z-i| = 1\right \}$.$

Range of this function? (1 Viewer)

SlimiJay

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InteGrand

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