What is the taylor series used for?

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Answer 1 · 2018-04-22T00:15:27

See the explanation below :-

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 :-

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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 $x$ .