I'm taking an introductory class on analysis right now and I'm trying to get through the book that we are reading. I'm having difficulty understanding a park of it and was hoping someone could help me out. The part I'm reading about now is on null sequences:(adsbygoogle = window.adsbygoogle || []).push({});

Here's an excerpt. I'm having trouble entering in the math type so sorry for no symbols.

1. Every null sequence is a bounded sequence. For - choose epsilon=1 - we have the |Z_nu|<1 for nu > mu, and hence the |Z_nu| is less than or equal to K = max(1, |Z_0|, ... ,|Z_mu|).

2.Let {|Z_nu|} be a null sequence. Suppose that for a fixed K the terms of a sequence {Z'_nu} under investigation satisfy the condition that, for all nu after a certain stage mu',

|Z'_nu| is less than or equal to K|Z_nu|.

I have some trouble understanding what this means. Mu here is the stage beyond which |Z_nu| is less than epsilon. I dont really understand the part about K = max (etc) or the Z', mu' part towards the end.

Thanks.

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# Question about Sequences - sorry if this is in the wrong place.

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