Taylor Series depicts the calculus topics, just behind fundamental theorems and the mean value theorem. Taylor series can be practised to prove a plenitude of identities. We use them in the study of differential equations to approximate solutions to a given relation.
Even our calculator computes ex.ex. Through Taylor polynomial.
A tangent line is a Taylor Polynomial.
Any function satisfying a few criteria can be expressed as an infinite polynomial and that’s the significance of it.