What is the taylor series used for?

1 Answer
Apr 22, 2018

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 :-

Screenshot

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#.