so ive hit a snag in a problem (the topic is actually fourier integral transformations)

i was wondering whether there was some approach to evaluating

in my mind could be either -1, 0 or 1. is there a orthodox way of approaching this?

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- October 12th 2009, 08:39 PMwalleyeevaluating sine (or cos) at infinity
so ive hit a snag in a problem (the topic is actually fourier integral transformations)

i was wondering whether there was some approach to evaluating

in my mind could be either -1, 0 or 1. is there a orthodox way of approaching this? - October 12th 2009, 09:42 PMtonio
- October 13th 2009, 12:58 AMchisigma
The limit...

(1)

... doesn't exist but exists the limit...

(2)

In general if is the sum of a finite number of periodic functions*not necessarly with the same period*the limit...

(3)

... exists and is called [improperly] 'mean value of '. It is...

(4)

Kind regards

- October 13th 2009, 03:05 AMtonio