Let <z(adsbygoogle = window.adsbygoogle || []).push({}); _{n}> be a sequence complex numbers for which Im(z_{n}) is bounded below.

Prove <e^(i*z_{n})> has a convergent subsequence.

My question on this is what possible help could the boundedness of the Im(z_{n}) to this proof and what theorem might be of help?

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# Sequence of complex numbers

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