Use the Taylor series to find the first four nonzero terms of the Taylor series for the function In (1 + 8x) centered at 0. Click the icon to view a table of Taylor series for common functions. What is the Taylor series for In (1 + 8x) at x = 0?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use the Taylor series to find the first four nonzero terms of the Taylor series for the function In (1 + 8x) centered at 0.
Click the icon to view a table of Taylor series for common functions.
What is the Taylor series for In (1 + 8x) at x = 0?
O A. 8x -
82x2 gở x3 84x4
3
2
4
B. - 8x +
O C. 1+8x-
OD. - 8x-
8²x² 83x3 84x4
2
3
4
+
+
+
8²x² 83x3 84x4
X
2
3
4
+
8²x² 83x³ 84x4
2
3
4
Transcribed Image Text:Use the Taylor series to find the first four nonzero terms of the Taylor series for the function In (1 + 8x) centered at 0. Click the icon to view a table of Taylor series for common functions. What is the Taylor series for In (1 + 8x) at x = 0? O A. 8x - 82x2 gở x3 84x4 3 2 4 B. - 8x + O C. 1+8x- OD. - 8x- 8²x² 83x3 84x4 2 3 4 + + + 8²x² 83x3 84x4 X 2 3 4 + 8²x² 83x³ 84x4 2 3 4
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