What is the sixth-order Taylor polynomial for f(x) =/1+2x² about xo = 0? (A) 1 + x² – 8 16 x6 (B) 1 – x2. - * - 2 (C) 1 + x² – x4 2 2 (D) 1 + + + 9x4, 27x6 3x2 1+ 2 (E) + 8 16

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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I. A
O II. E
O III. B
IV. C
O v. D
Transcribed Image Text:I. A O II. E O III. B IV. C O v. D
What is the sixth-order Taylor polynomial for
f(x) = /1+2x² about
Xo = 0?
x6
(A) 1 + x²
+
8
16
x4
(B) 1 – x² -
2
2
x4
X'
(C) 1 + x² –
+
(D) 1 +
x2
.4
+
2
2
+
2
3x2
1+
2
9x4
+
16
(E)
27x6
Transcribed Image Text:What is the sixth-order Taylor polynomial for f(x) = /1+2x² about Xo = 0? x6 (A) 1 + x² + 8 16 x4 (B) 1 – x² - 2 2 x4 X' (C) 1 + x² – + (D) 1 + x2 .4 + 2 2 + 2 3x2 1+ 2 9x4 + 16 (E) 27x6
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