GATE XE (Engineering Sciences) 2016 - Question 16

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Section: Engineering Mathematics | Marks: 1

The Laurent series of 𝑓𝑓(𝑧𝑧) = 1/(𝑧𝑧3 βˆ’ 𝑧𝑧4) with center at 𝑧𝑧= 0 in the region |𝑧𝑧| > 1 is

  • A. βˆ‘ π‘§π‘§π‘›π‘›βˆ’3 ∞ 𝑛𝑛=0
  • B. βˆ’βˆ‘ 1 𝑧𝑧𝑛𝑛+4 ∞ 𝑛𝑛=0
  • C. βˆ‘ 𝑧𝑧𝑛𝑛 ∞ 𝑛𝑛=0
  • D. βˆ‘ 1 𝑧𝑧𝑛𝑛 ∞ 𝑛𝑛=0

Answer: B. βˆ’βˆ‘ 1 𝑧𝑧𝑛𝑛+4 ∞ 𝑛𝑛=0

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