Taylor Polynomial Formula

About Taylor Polynomial Formula

What is Taylor's polynomial?

Taylor polynomial of degree "n" is a function formed by a partial sum of first n terms of the Taylor series. Taylor Polynomial Formula helps to find nth degree Taylor polynomials using the Taylor series.

What Is Taylor's Polynomial Formula?

The Taylor polynomials are approximations of function, which generally become more accurate whenever n increases. Taylor's polynomial formula can be expressed as,

Pn(x) = f(a) + f'(a)(x − a)/1! + [ f′′(a) (x − a)^2/2!] + [f′′′(a) (x − a)^3/3!] + ….. + [ f^(n)(a) (x − a)^n/n!]

OR

Pn(x)= f^(n)a×(x−a)^n/n!

Pn(x) denotes Taylor polynomial which is the real or complex-valued function which is infinitely differentiable at real or complex number “a” is power series and n denotes a Total number of terms in series or degree of Taylor polynomial. Check out the List of Maths Formulas. 

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Taylor Polynomial Formula

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