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Taylor series - Wikipedia, the free encyclopedia

As taylor polynomial is based on set of terms basic on the nth derivative of a function you are trying to find a approximation for in a series.

The general taylor polynomial is as such, a general taylor polynomial starts at the 0th degree and you continue on till the degree which you were given

X = A = 16

in your case.

You are taking the n'th derivative of the function you were given to a degree over the nth factorial center at x - a to the nth power.

Here is your example, it helps to build a table of each nth derivative you take

Your problem states to the 2nd degree, will do as such and it is centered at x = 16

Making a table of each nth derivative as such evulated at a which is equal to x which is 16

Now evulate at a which equals 16 and set up your polynomial keeping in mind the nth factiorial and