GATE 2024 PI – Question 11

Engineering Mathematics · Calculus · 1 mark · Multiple choice

Find the coefficient of z³ in the Taylor expansion of sin z around z = 0.

Show answer and explanation

Correct answer: (C) −1/6

Explanation

$\sin z=z-z^3/3!+z^5/5!-\cdots$. Therefore the z³ coefficient is **−1/6, C**.

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