1. 2. 3. If the first five terms of the Taylor expansion for f(x) about x = 0 are 5 3 3-7x+ x² + x³-6x¹, then f*(0) = (A) 호 (D) 2x-x³+ (B) 12 3 If f(x)=sin(x²), the first three terms of the Taylor series expansion about x = 0 for f'(x) are (A) 1-2x²+x² (D) 4x+8x³ +8x³ (B) 2x-x+- (E) x° + 120 (B) 2x²+2x³+x² (D) 6 Let f(x) = ²*². The first three terms of the Maclaurin series for f(x) are (A) 1+2x²+2x¹ 16 3 (E) 8 (E) 8x³ +8x³+: (C) 1-1/2 x ² + 1 / 6x² 16 4 (C) 2x²+2x¹+x²
1. 2. 3. If the first five terms of the Taylor expansion for f(x) about x = 0 are 5 3 3-7x+ x² + x³-6x¹, then f*(0) = (A) 호 (D) 2x-x³+ (B) 12 3 If f(x)=sin(x²), the first three terms of the Taylor series expansion about x = 0 for f'(x) are (A) 1-2x²+x² (D) 4x+8x³ +8x³ (B) 2x-x+- (E) x° + 120 (B) 2x²+2x³+x² (D) 6 Let f(x) = ²*². The first three terms of the Maclaurin series for f(x) are (A) 1+2x²+2x¹ 16 3 (E) 8 (E) 8x³ +8x³+: (C) 1-1/2 x ² + 1 / 6x² 16 4 (C) 2x²+2x¹+x²
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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Transcribed Image Text:1.
2.
3.
If the first five terms of the Taylor expansion for f(x) about x = 0 are
3
3-7x+ x² + x³-6x¹, then f*(0) =
5
(A) 호
(c) 2/2
2
(A) 1-2x² + x²
(D) 2x-x³+
(B)
12
If f(x)=sin(x²), the first three terms of the Taylor series expansion about x = 0 for
f'(x) are
3
(D) 4x+8x³ +8x³
(B) 2x-x+-
(E)
x° +·
120
(B) 2x²+2x³+x²
(D) 6
Let f(x) = ²*². The first three terms of the Maclaurin series for f(x) are
(A) 1+2x²+2x¹
16
3
(E) 8
(E) 8x³ +8x³+:
(C) 1-1/2 x ² + 1 / 6x²
16
4
(C) 2x²+2x¹+x²
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