Discussion
Newton-Raphson method for solving algebraic equations is based on
Answer: A
Newton-Raphson is based on the Taylor series.
Expand \(f\) about the current estimate and keep the linear term: \(f(x_{n} + h) \approx f(x_{n}) + hf'(x_{n}) = 0\), so \(h = -f(x_{n})/f'(x_{n})\) and \(x_{n+1} = x_{n} - f(x_{n})/f'(x_{n})\).
Fourier series represent periodic functions by sines and cosines, Laurent series expand complex functions about singularities, and 'power series' is a general class rather than the specific truncated expansion the method uses.
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