Changes

==Limit of a Sequence==

==Limit of a Sequence==

Let <math>(a_n)_{n\in N} = (a_1, a_2, a_3, ...,</math> be a [[sequence]] of [[real number]]s. We say that this sequence has a limit <math>a\,</math>, i.e.,

Let <math>(a_n)_{n\in N} = (a_1, a_2, a_3, ...),</math> be a [[sequence]] of [[real number]]s. We say that this sequence has a limit <math>a\,</math>, i.e.,

<math>\lim_{n\to \infty} = a,\,</math>

<math>\lim_{n\to \infty} = a,\,</math>

if for any <math>\varepsilon > 0\,</math>, there exists a number  <math>N\,</math>, such that

if for any <math>\varepsilon > 0\,</math>, there exists a number  <math>N\,</math>, such that