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Determine all the singularities of the follow- ing functions and classify them. (a) COS(2) (b) A -1 (C) (271) (d) - COS(22) (

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@ Cos(2), The singularities are at 2=0, of order 2 The singularity is pole singularity. = 24-1 > The singularities atreat, Z=Zr z so by defn it is clear to us, that the given expression has pole singularity at o of orde 2. B 2441. 121) (Z*+1) 2-1)(2217 (2- 12-12 LOS (22) - cos c2Z) . -1°(2+1) (211) - (2-1) ati 7=1. Cos (27) is analytic at a=1. ZV+1 and im Co$22) ( 217 CZ-

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