(A Calculator is allowed for this question) Let f(x) = cos(x²). (a) Find the first four terms and the general term of the Maclaurin series for f

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Chapter2: Second-order Linear Odes
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(A Calculator is allowed for this question)
Let f(x) = cos(x²).
(a) Find the first four terms and the general term
of the Maclaurin series for f.
(b) Determine the radius and interval of
convergence for this series.
(c) Use the first three terms of the Maclaurin
series for fto approximate cos(1). Show that the
approximation is accurate to within
1
500
Transcribed Image Text:(A Calculator is allowed for this question) Let f(x) = cos(x²). (a) Find the first four terms and the general term of the Maclaurin series for f. (b) Determine the radius and interval of convergence for this series. (c) Use the first three terms of the Maclaurin series for fto approximate cos(1). Show that the approximation is accurate to within 1 500
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