Use Maclaurins theorem to calculate the series expansion of f(x) = tan-1 x up to and including the term in x3. [a] x− 1/ 2x + 3/ 8 x2 − 5 /16 x3 + O(x4 ) [b] x− 5 /16 x3 +O(x 4 ) [c] 1+ 1 /2 x2 +O(x4 ) [d] x− 1 /3 x3 +O(x4 ) [e] not in the list
Use Maclaurins theorem to calculate the series expansion of f(x) = tan-1 x up to and including the term in x3. [a] x− 1/ 2x + 3/ 8 x2 − 5 /16 x3 + O(x4 ) [b] x− 5 /16 x3 +O(x 4 ) [c] 1+ 1 /2 x2 +O(x4 ) [d] x− 1 /3 x3 +O(x4 ) [e] not in the list
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
Use Maclaurins theorem to calculate the series expansion of f(x) = tan-1 x up to and including the term in x3.
[a] x− 1/ 2x + 3/ 8 x2 − 5 /16 x3 + O(x4 )
[b] x− 5 /16 x3 +O(x 4 )
[c] 1+ 1 /2 x2 +O(x4 )
[d] x− 1 /3 x3 +O(x4 )
[e] not in the list
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