Practice Problem

To the right:

Faster:

Centered at zero:

Not centered:

In point of fact, the little execise above - just moving the a value - betrays

a confused situation. It is possibe to shift the center on which the Tseries

will be built; or one can shift the function along the x-axis and build on

zero.

https://www.symbolab.com/solver/taylor-maclaurin-series-calculator/taylor%20cos%5Cleft(x-%5Cfrac%7Bpi%7D%7B2%7D%5Cright)%2C%20

Bears thinking about! 🐻

                                                   *     *     *

On the practical side:

Calculating the adjustment...

 

Four terms is standard use.