When a Taylor Series is generated from a functions n derivatives at a single point,(adsbygoogle = window.adsbygoogle || []).push({});

then is that series for any value of x equal to the original function for any value x ?

For example graph the original function (x) from x= 0 to x = 10.

Now plug into the Taylor Expansion for x , values from 0 to 10 and graph.

Are the two plots approximate or equal ?

Numerical example not to be worked but just for question :

Suppose f(x) = 4x^3 + 8x^2 - 3x +2

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# Taylor Series for Any (x) = Function (x) for Any (x) ?

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