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In this story I want to pick-up a theorem that is of fundamental importance in mathematics and its applications. Although this theorem is so central, its proof and idea is not difficult to understand. Actually, the only prerequisite for this story to understand is integration by parts.
Next let us see some applications of Taylor’s theorem.
Finally it is worth mentioning that the Taylor expansion is the core working tool in numerical analysis to find higher-order schema for solving differential equations and more.
Thanks for reading!