Use substitution to find the Taylor series at x = 0 of the function In (1+4x°). What is the general expression for the nth term in the Taylor series at x= 0 for In (1+4x°)? ΣΗ n= 1 What is the Taylor series for In (1+ 4x°) at x= 0? 4x16 4°x24 44x32 O A. 4x8. 2 + + 3 4 16 4x О В. 1-4х° + 2 4x4 8 + 16 4x 24 32 4x 4x O C. 4x°. + +... 2 4 2.16 4 x O D. - 4x° + 2 4.32 4°x24 4*x3 8 + 3 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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Use substitution to find the Taylor series at x = 0 of the function In (1+4x°).
What is the general expression for the nth term in the Taylor series at x= 0 for In (1+ 4x° )?
00
Σ
n = 1
What is the Taylor series for In (1+4x°) at x = 0?
43x24 44x32
3 24
2.16
42x'
О А. 4x8
+
+..
3
4
16
4x
4x24
8
ОВ. 1-4х° +
+ ...
2
3
16
4х
4x
24
4x
32
OC. 4x3 -
+
+..
2
4
2.16
4°x
O D. - 4x° +
2
4°x24
4*x32
X.
+
4
Transcribed Image Text:Use substitution to find the Taylor series at x = 0 of the function In (1+4x°). What is the general expression for the nth term in the Taylor series at x= 0 for In (1+ 4x° )? 00 Σ n = 1 What is the Taylor series for In (1+4x°) at x = 0? 43x24 44x32 3 24 2.16 42x' О А. 4x8 + +.. 3 4 16 4x 4x24 8 ОВ. 1-4х° + + ... 2 3 16 4х 4x 24 4x 32 OC. 4x3 - + +.. 2 4 2.16 4°x O D. - 4x° + 2 4°x24 4*x32 X. + 4
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