Q1- The sufficient condition for f(z) to be analytic. Q2-Show that the series =0 is convergent. Q3--Prove that f'(a) = == (z-i)n (2-1)n-1 1 f(z) -$- dz (z-a) 2 x dx Q5- Show that o co cos 2 ax-cos 2bx Q4- Apply Cauchy's residue theorem, Evaluate fo T x-2 = (x+1)(x+4) 3 dx