Taylor Polynomials


Answer:

displaymath329


As you can see in the following pictures for the example of this sine function, increasing the degree of the Taylor polynomial for a given function f(x) at a given point tex2html_wrap_inline209 generally has two effects:

The function sin(3x) is black, while its Taylor polynomials with center tex2html_wrap_inline333 are shown in red.

Click here for the animated GIF file.

Try some more examples yourself!

Find the Taylor polynomial for the following functions and centers:
  1. tex2html_wrap_inline357, center tex2html_wrap_inline233 , degree 5.
  2. tex2html_wrap_inline361, center tex2html_wrap_inline333 , degree 3.
  3. tex2html_wrap_inline365, center tex2html_wrap_inline333 , degree 3.
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Helmut Knaust
Sun Jul 7 22:08:09 MDT 1996

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