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Power Series

Definition: In mathematics, a power series is an infinite series of the form f(x) = a₀ + a₁x + a₂x² + a₃x³ + ..., where a₀, a₁, a₂, a₃, etc. are constant coefficients and x is a variable. Power series are commonly used to approximate functions and calculate values.

Example sentences:

1. The function f(x) = sin(x) can be represented as a power series: x - (x³/3!) + (x⁵/5!) - (x⁷/7!) + ...
2. By truncating a power series at a finite number of terms, we can obtain a polynomial approximation to a function.
3. The notion of a power series is fundamental in the field of complex analysis.

Related products on Amazon:

• Books on Power Series
• Power Series Calculators
• Mathematics and Power Series