(a)If complex function f(z) has a simple pole at z=a on the real axis please show the following theorem : lim ∫f(z)dz = πi Resf(a) r→0 C2 ,where Resf(a) is the residue of f(z) at z=a , the path C2 is C2: z=a+re^(iθ) , 0≦ θ≦π (b)Integrate the following complex function counterclockwise around C. cosz ── , n=1,2,......, C: |z|=1 z^n 拜托各位大大了 这一题是98成大工数 谢谢!! --

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