Question

What is the taylor series used for?

Answer 1

See the explanation below :-

Explanation:

Taylor series is used for the expansion of any continuously differentiable function in the term of a polynomial .

The formula for Taylor expansion is given below :-

For eg :

The Taylor series for `e^x` is :

`e^x = x^0/(0!) + x^1/(1!) + (x^2)/(2!) + (x^3)/(3!) + (x^4)/(4!) .................`

`:.e^x = 1 + x +(x^2)/(2!) + (x^3)/(3!) + (x^4)/(4!) .................`

which is a polynomial of `x`.