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

Hi:

can someone give me examples of the following? (no proofs needed)

1. a non-zero complex number z such that Arg(z^2) "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 variables (no proofs)

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