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I just started reading an introductory book on analysis. I'm up to the part where they talk about functions now, and I'm getting lost.

The theorem that I'm having trouble envisioning is: Let f: D-> R and let c be an accumulation point of D. Then lim_{x->c}f(x)=L iff for each neighborhood V of L there exists a deleted neighborhood U of c such that f(U[itex]\bigcap[/itex]D) is contained in V.

Why is it N*(c) rather than just N(c)? There's a picture in the book of the deleted point corresponding to L and...I think it's just confusing me more. First theorem in the book that I couldn't wrap my head around. :(

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# Confused about continuity and limits

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