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WOLFRAM|DEMONSTRATIONS PROJECT

Graphs of Taylor Polynomials

expansion point
xpt
0
terms (highest degree)
terms
2
x axis
xmax
10
f(x) =
cos(x)
graph all polynomials
showall
show
opts
polynomial
error
neither
y axis
f(x) = cos(x)
T
2
(x) = 1-
2
x
2
Choose the maximum degree of the Taylor polynomial to use to approximate a function. You can choose from a variety of functions and manipulate the expansion point. To see the error in the approximation, select the "error" radio button and use the slider that appears under the graph. Adjust the scale of the graph with the
x
axis and
y
axis sliders.
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