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[tex]

\sum_{n=-\infty}^\infty{1} = \infty

[/tex]

But I don't understand why.

It seems to me that since the constant inside the summation is not dependent upon n it can be moved outside the summation. Then there is nothing to sum.

It seems to me that

[tex]

\sum_{n=-\infty}^\infty{1}

[/tex]

should equal 1.

What am I missing?

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# Infinite Series

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