Cosine Power Series: Expansion And Applications

The cosine power series is a Taylor series expansion of the cosine function, representing it as an infinite sum of terms involving powers of the input variable. This series is defined as cos(x) = 1 – x^2/2! + x^4/4! – x^6/6! + …, where “!” denotes the factorial function. This series converges for all values of x, making it a powerful tool for approximating the cosine function and understanding its behavior.

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