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limit of sin(f*pi*K*T)/sin(f*pi*T)

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svensl

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Hello,

I came across a statement (un-proofen) that the limit (K--> infinity) of 1/(T*K)*sin(f*pi*K*T)/sin(f*pi*T) is given as 1/T²*∑u(f-n/T) where u is the unit impulse function.

Does anyone know how to arrive at this value?

Cheers,
 

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