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Fantastic evaluation. Enjoyed the solution development.
Do you have a proof of the identity involving the residue? If f(z) has many poles, do we add the residues up?
Yes, if f(z) has more than one pole you would add them up, In this example we only have one pole to deal with so we only calculate one residue.
@@mathemagicalpi Do you have a proof linking the alternating series to the sun of residues? I have never seen such an amazing identity.
This video can give some insight, th-cam.com/video/aPJheVLTRYo/w-d-xo.htmlsi=bknP91DPjfvw9Jv8. Hope this answers your question.
Fantastic evaluation. Enjoyed the solution development.
Do you have a proof of the identity involving the residue? If f(z) has many poles, do we add the residues up?
Yes, if f(z) has more than one pole you would add them up, In this example we only have one pole to deal with so we only calculate one residue.
@@mathemagicalpi Do you have a proof linking the alternating series to the sun of residues? I have never seen such an amazing identity.
This video can give some insight, th-cam.com/video/aPJheVLTRYo/w-d-xo.htmlsi=bknP91DPjfvw9Jv8. Hope this answers your question.