Use substitution to find the Taylor series at x = 0 of the function In (1+5x7). What is the general expression for the nth term in the Taylor series at x = 0 for In (1+5x7) ? 8 ΣΠ n=1 What is the Taylor series for In (1+5x7) at x = 0? OA. -5x + OB. 5x7 OC. 5x7 - 52x14 2 52x14 2 14 5x 2 OD. 1-5x + + + -3,21 5 x 3 5x14 2 53x21 3 5x21 3 + 5x21 3 54x28 4 54x28 4 5x28 4 + ... 4 +... + ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Question
Use substitution to find the Taylor series at x = 0 of the function In (1+5x²).
What is the general expression for the nth term in the Taylor series at x = 0 for In (1+5x²)?
00
n=1
What is the Taylor series for In (1+5x7) at x = 0?
OA. -5x² +
O
B. 5x7
OC. 5x7-
52x14
2
14
5x
52x14 53x21 54x28
2
3
4
2
OD. 1-5x +
+
5x21
3
14
5x
53x21
3
2
+
5x21
3
5x
54x28
4
28
4
+...
+...
+ ...
Transcribed Image Text:Use substitution to find the Taylor series at x = 0 of the function In (1+5x²). What is the general expression for the nth term in the Taylor series at x = 0 for In (1+5x²)? 00 n=1 What is the Taylor series for In (1+5x7) at x = 0? OA. -5x² + O B. 5x7 OC. 5x7- 52x14 2 14 5x 52x14 53x21 54x28 2 3 4 2 OD. 1-5x + + 5x21 3 14 5x 53x21 3 2 + 5x21 3 5x 54x28 4 28 4 +... +... + ...
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