Let f(x) = tanx. The Maclaurin series of f(x) is E=0 (-1)" -1 x2n + 1. 2n+1 With this, approximate the value of (G tan-1G) using the sixth degree Maclaurin series of x tan-1 X. Express your answer in a single fraction in lowest terms.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f(x) = tanx. The Maclaurin series of f(x) is E=0
(-1)"
-1
x2n + 1.
2n+1
With this, approximate the value of (G tan-1G) using the sixth degree Maclaurin series of x tan-1
X.
Express your answer in a single fraction in lowest terms.
Transcribed Image Text:Let f(x) = tanx. The Maclaurin series of f(x) is E=0 (-1)" -1 x2n + 1. 2n+1 With this, approximate the value of (G tan-1G) using the sixth degree Maclaurin series of x tan-1 X. Express your answer in a single fraction in lowest terms.
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How did you get the expression for xtan-1(x)? How did you relate it with the maclaurin series of tan-1x?

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