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Engineering Mathematics
Calculus
GATE 2011
Easy

A series expansion for the function sin θ is

  • A1 - θ²/2! + θ⁴/4! - ...
  • θ - θ³/3! + θ⁵/5! - ...
  • C1 + θ + θ²/2! + θ³/3! + ...
  • Dθ + θ³/3! + θ⁵/5! + ...

Explanation

The Maclaurin series for sin θ is θ - θ³/3! + θ⁵/5! - θ⁷/7! + ..., an alternating series in odd powers of θ.

Source: GATE ME 2011 (2011)

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