4. From the series cotan-1 x = 1/x – 1/3x³ + 1/5x³ 1/7x + •··(valid for x > 1) deduce the continued fraction 1 cotan- x = 25x² 49x? 9x? x + 3x² - 1 + 5x? – 3 + 7x? – 5 + 9x² – 7 + ·…
4. From the series cotan-1 x = 1/x – 1/3x³ + 1/5x³ 1/7x + •··(valid for x > 1) deduce the continued fraction 1 cotan- x = 25x² 49x? 9x? x + 3x² - 1 + 5x? – 3 + 7x? – 5 + 9x² – 7 + ·…
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:4. From the series cotan- x =
(valid for x > 1),
1/x
deduce the continued fraction
1/3x3 + 1/55
1/7x +
•..
49x2
1
cotan- x =
9x?
25x?
x + 3x²
1 + 5x² –
3 + 7x? - 5 + 9x? – 7 + ·….
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