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Let f(z) = exp, z ∈ ℂ\{0}. The residue of f at z = 0 is

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CSIR UGC (NET) Mathematical Science: Held On (7 June 2023)
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Answer (Detailed Solution Below)

Option 3 :
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Detailed Solution

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Concept:

Residue of f(z)  at z = 0 is the coefficient of  in the Maclaurin series expansion of f(z)

Explanation:

f(z) = exp

     =

    = 

Hence the coefficient of  in the above expression

 = 

 = 

Hence option (3) is correct 

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