(Boundedness) Show that a complex sequence is bounded if and onl y if the two
Chapter 15, Problem 15.1.15(choose chapter or problem)
Are the following sequences \(z_{1}, z_{2}, \cdots, z_{n}, \cdots\) bounded? Convergent? Find their limit points. (Show the details of your work.)
\(z_{n}=\sin (n \pi / 4)+i^{n}\)
Text Transcription:
z_1, z_2, cdots, z_n, cdots
z_{n} = sin (n pi/4) + i^n
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