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→Convergence: Spelling/Grammar Check, typos fixed: However → However,
Adding together an infinite string of halves will not give you a finite number so this sequence is said to '''diverge'''.
Adding together an infinite string of halves will not give you a finite number so this sequence is said to '''diverge'''.
A series will only converge if <math>\lim_{n\rightarrow\infty}a_{n}=0</math>. However there are two other conditions for real series,
A series will only converge if <math>\lim_{n\rightarrow\infty}a_{n}=0</math>. However, there are two other conditions for real series,
====Power Series convergence====
====Power Series convergence====