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Math Help - Definition of limits of a sequence

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    Definition of limits of a sequence

    Can someone explain me what n, N represent and why N<n? Thank you.
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    Re: Definition of limits of a sequence

    Quote Originally Posted by davidciprut View Post
    Can someone explain me what n, N represent and why N<n? Thank you.
    If (x_n)\to l means that almost all of the terms of x(_n) are close to the number l.

    Almost all means all but a finite collection of the terms.
    If N\in\mathbb{Z}^+ then the set \{1,2,\cdots N\} is a finite set and the set \{n:n>N\} is an infinite set.

    So in the that definition to say n>N means that infinite set is almost all of the terms.
    Thanks from davidciprut
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