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Residue at z = 2 of  is

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Option 1 :

Detailed Solution

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Concept:

Pole – a point on which functional value is infinite.

If z = a is a simple pole of f(z) then the residue of f(z) at z = a is given by,

Calculation:

Given:

We have to find residue at z = 2.

Value of f(z) is infinite at x = 2. hence z = 2 is a simple pole.

Residue of f(z) at z = 2, 

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