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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
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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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
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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