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I'm not an undergrad student, and as I'm living in Sweden this means that I am studying at a Gymnasium. In pre-university levels of teaching math in Sweden, the epsilon-delta method is not covered. So, I'm just wondering: could you please give me an example of an undergraduate book, that covers the topic of epsilon-delta method - at least has it included in it?

Would be appreciated if so.

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Try Spivak's Calculus or Apostol's Calculus Vol. I.