In the Laurent expansion of  valid in the region 1 < |z| < 2, the co-efficient of  is

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UPSC ESE 2018 Paper 1
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  1. 0
  2. 1/2
  3. 1
  4. -1

Answer (Detailed Solution Below)

Option 4 : -1
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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Concept:

Laurent series of f(z) is given by:

Calculation:

Given:

The given region is 1 < |z| < 2

Co-efficient of is -1

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