Symbolic Math Toolbox    

Taylor Series

The statements

return

which is all the terms up to, but not including, order eight in the Taylor series for :

Technically, T is a Maclaurin series, since its basepoint is a = 0.

The command

prints T in a format resembling typeset mathematics:

These commands

generate the first 12 nonzero terms of the Taylor series for g about x = 2.

Let's plot these functions together to see how well this Taylor approximation compares to the actual function g:

Special thanks to Professor Gunnar Bäckstrøm of UMEA in Sweden for this example.


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