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I like your changes, but an "infinitely small ball" is not intuitive :-)
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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
 
<math>
 
<math>
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|a_n - a| < \varepsilon</math> for every <math>n > N</math>. Intuitively, this means that if you have an infinitely small ball [[center]]ed at the limit point, then most of the points of the sequence are in that ball.
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|a_n - a| < \varepsilon</math> for every <math>n > N</math>. Intuitively, this means that if you take  an [[interval]] as small as you like, [[center]]ed at the limit point, then most - i.e., all but a finite number - of the points of the sequence are in that interval.
    
==Limit of a Function==
 
==Limit of a Function==
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