Function Approximation Consider the following function f (x) = cos(2x) + x* (6) (a) Using the Taylor series expansion centered at f(xo f (xo + 5) using 2, 3 and 4 terms from the series. 1), approximate f(xo + 0.1), f(xo+ 1) and (b) Plot these 9 points with the original function. Comment on how the error effected by a change in the

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Function Approximation
Consider the following function
f (x) = cos(2x) +x%
(6)
(a) Using the Taylor series expansion centered at f(xo
f (xo + 5) using 2, 3 and 4 terms from the series.
1), approximate f(xo + 0.1), f(xo + 1) and
(b) Plot these 9 points with the original function. Comment on how the error is effected by a change in the
step size and a change in the number of terms.
Transcribed Image Text:Function Approximation Consider the following function f (x) = cos(2x) +x% (6) (a) Using the Taylor series expansion centered at f(xo f (xo + 5) using 2, 3 and 4 terms from the series. 1), approximate f(xo + 0.1), f(xo + 1) and (b) Plot these 9 points with the original function. Comment on how the error is effected by a change in the step size and a change in the number of terms.
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