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In '''mathematics''' convergence of an [[Infinite series]] occurs when,
<math>\lim_{N\rightarrow\infty}\sum^{N}_{n=1}a_{n}=L</math>
for <math>L</math> a finite number number, <math>|L|<\infty</math>.
<math>\lim_{N\rightarrow\infty}\sum^{N}_{n=1}a_{n}=L</math>
for <math>L</math> a finite number number, <math>|L|<\infty</math>.