I'm enrolled in a Real Analysis course (and an abstract algebra course). These courses are my first taste of abstract mathematics, and it honestly doesn't make a bit of sense.(adsbygoogle = window.adsbygoogle || []).push({});

This is the Real Analysis book's definition of a limit:

A sequence, X, in the real numbers is said to converge to some L, or L is said to be the limit of X, if for every epsilon > 0 there exists some a natural number, Kappa, such that for all n greater than or equal to Kappa, the terms, x(n), of X satisfy |x(x) - L| < epsilon.

What does that mean? Is there any way of actually explaining this, because my expects me to implicitly understand this... And there's not a chance in heck that I do.

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# Formal definition of a limit

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