Extension: Integral Form of the Error in Taylor Approximation

Explanations 2

• Before learning what the integral form of the error of a Taylor series is, we will first learn, through a true anecdote, why it is important for young mathematicians to learn th…

  By Saranesh Prembabu, Alex Federspiel

• If Tn(x)T_n(x)Tn​(x) is the degree nnn Taylor approximation of f(x)f(x)f(x) at x=ax=ax=a, then the approximation error Rn(x)=f(x)−Tn(x)R_n(x) = f(x) - T_n(x)Rn​(x)=f(x)−Tn​(x) (…

  By Victor Wang