GATE 2023 BM – Question 58

Engineering Mathematics · Complex Variables · 2 marks · Numerical answer

Expand sin z as a Taylor series about z=0. What is the reciprocal of the coefficient of z³?

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Correct answer: -6 to -6

Explanation

The sine series is sin z=z−z³/3!+z⁵/5!−⋯. Thus the cubic coefficient is −1/6. Its reciprocal is −6. The question asks for the reciprocal, so neither −1/6 nor positive six is the requested result.

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