I know that Maclaurin series are a special case of Taylor series where we set $a=0$, and it is useful for exponential functions (for example). But my question is: Are Taylor series (evaluate at some other point different to zero) really useful in practice?
2026-04-13 01:07:37.1776042457
Why use Taylor series instead of Maclaurin?
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Taylor series can be used to approximate function at some point (not always $0$). For example, this is a powerful tool for calculating limits.