When can interchange sum and integral

Aziza · Dec 24, 2012

Why in the attached picture is it legal to interchange the sum and integral? Is it just because n is not dependent on t? note: (c₁)_n is just a function of n

micromass · Dec 24, 2012

You would have to apply something like the monotone or dominated convergence theorem to prove that it is valid in this case.

HassanEE · Dec 26, 2012

The reason you can interchange is not because the variables are independent but because the operations are; that is, the integration and the summation.

When can interchange sum and integral

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When can interchange sum and integral

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