Question

real spider woman
$\sin(\pi \infty log(\pi \binom{?}{?} ) )$
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Answer 1

Answer:

Since this is an exercise from Chapter 3, I think I should use the residue formula or something like that. But the function f(x)=log(sinπx) becomes singular on x=0 and x=1, which makes the contour illegal for the residue theorem.

So, the answer of this question is 2.