(adsbygoogle = window.adsbygoogle || []).push({}); need some urgent help with basic complex analysis (no proofs)

This forum is probably more appropriate. please forgive me for double posting.

Can someone give me examples of the following? (no proofs needed) (C is the complex set)

1. a non-zero complex number z such that Arg(z^2) is NOT equal to 2 Arg z

2. a region in C which is not a domain

3. a non-empty subset of C which has no accumulation points

4. a continuous function f: C -> C which is not differentiable anywhere

5. an entire function which is not a polynomial.

thanks a lot in advance!!

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# Need some help with basic complex analysis (no proofs)

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