= Series expansions
{wiki=Series_expansions}
Series expansions are mathematical representations of functions as infinite sums of terms, where each term is calculated from the function's derivatives at a specific point. These expansions allow functions to be approximated or expressed in a more convenient form for analysis, computation, or theoretical work. There are several types of series expansions, but the most common ones include: 1. **Taylor Series**: This representation expands a function \\( f(x) \\) around a point \\( a \\) using derivatives at that point.
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