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I need to calculate the residue of

( 1 - cos wt ) / w^2

This has a pole of second order at w=0, am I correct?

Now may math book says that a second order residue is given by

limit z goes to z_0 of {[(z-z_0)^2. f(z)]'} where z_0 is the pole

I'm quite new to complex analysis. Could someone perhaps show me how this relates to the above, and how I get the residue from this?

Cheers!

( 1 - cos wt ) / w^2

This has a pole of second order at w=0, am I correct?

Now may math book says that a second order residue is given by

limit z goes to z_0 of {[(z-z_0)^2. f(z)]'} where z_0 is the pole

I'm quite new to complex analysis. Could someone perhaps show me how this relates to the above, and how I get the residue from this?

Cheers!

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