Show that the nth Maclaurin polynomial of (x) arcsin x for n odd is 1x 1 3 x Tn(x) x 23 2 4 5 1 3 5 (n 2) x 2 4 6(n 1) n...

Let fx sinx Then and fx sin 1 fx 1x f x 1x32 2x 2x 1 1x52 ...

Show that the nth Maclaurin polynomial of (x) = arcsin x for n odd is 1x 1.3

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Show that the nth Maclaurin polynomial of ƒ(x) = arcsin x for n odd is

1x 1.3 x Tn(x)=x+ + 23 2.4 5 + 1.3.5 (n-2) x" 2.4.6(n-1) n

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 19, 2023 08:04 AM

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Show that the nth Maclaurin polynomial of (x) = arcsin x for n odd is 1x 1.3

Question:

1x³ 1.3 x Tn(x)=x+ + 23 2.4 5 + 1.3.5 (n-2) x" 2.4.6(n-1) n

Step by Step Answer:

Let fx sinx Then and fx sin 1 fx 1x f x 1x32 2x 2x 1 1x52 ...View the full answer

Calculus

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