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Q10: If |x| <2, the infinite series 3-3+3²-3³ (A): 2+x 6 3(-1)*xk ...+ (C): 2+x ... converges to: (D) 2

Q10: If |x| <2, the infinite series 3-3+3²-3³ (A): 2+x 6 3(-1)*xk ...+ (C): 2+x ... converges to: (D) 2

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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Q 10 please
Q1: Eis: (k) (A) power series Q4: The Maclaurin series for f(x) = tan x is: (A) x -+ (B) Q2:The series Ek-1k (k+1) (A) divergent (B) converges to 1(C) converges to (D) converges to 0 is: Q3: The divergence test says that the series Ek-oux is divergent if: (A) lim u = 0 (B) lim u 0 k-c k-00 15 (B) p-series *** 2+x (©)x+++· 1 Q5: The series E-1 is known as: (A) geometric (B) harmonic (C) telescoping k Q7: cosh ¹1 = (A) 0 (B) 1 Q8: For-1<x< 1, 1+x+x² + x³ + x¹ +. Q10: If |x| <2, the infinite series 3 - 6 (A): 212: lim (1-sinx) = = x→0 +++ 3x (D) alternating Q6: Suppose that a one-to-one function f(x) has tangent line y = 5x + 3 at the point (1,8), then (-¹) (8) (C) (D) 5 (C) In(1+√2) (D)in (√2-1) (B) (D) (B)cos x (A) Q9: To evaluate f sin*x cos³x dx, we substitute u = (A)sin x 3x² 3x³ = ... (C) geometric series (B) e + (C) lim u, >1 aw. + (C): 3(-1)*x* (D) harmonic series 2+x + (D) limu, ≤ 1 1+x (D) x + x³ + (9) (C)sin x cos x converges to: (D) ₂³/ 00 Q11: The radius of convergence of the infinite series Ekok! xk is: (A) 0 (B) 1 =0 (A) = (C) 1 2-X (C)/2 (D)sin²x (D) 2 (D) 0
Transcribed Image Text:Q1: Eis: (k) (A) power series Q4: The Maclaurin series for f(x) = tan x is: (A) x -+ (B) Q2:The series Ek-1k (k+1) (A) divergent (B) converges to 1(C) converges to (D) converges to 0 is: Q3: The divergence test says that the series Ek-oux is divergent if: (A) lim u = 0 (B) lim u 0 k-c k-00 15 (B) p-series *** 2+x (©)x+++· 1 Q5: The series E-1 is known as: (A) geometric (B) harmonic (C) telescoping k Q7: cosh ¹1 = (A) 0 (B) 1 Q8: For-1<x< 1, 1+x+x² + x³ + x¹ +. Q10: If |x| <2, the infinite series 3 - 6 (A): 212: lim (1-sinx) = = x→0 +++ 3x (D) alternating Q6: Suppose that a one-to-one function f(x) has tangent line y = 5x + 3 at the point (1,8), then (-¹) (8) (C) (D) 5 (C) In(1+√2) (D)in (√2-1) (B) (D) (B)cos x (A) Q9: To evaluate f sin*x cos³x dx, we substitute u = (A)sin x 3x² 3x³ = ... (C) geometric series (B) e + (C) lim u, >1 aw. + (C): 3(-1)*x* (D) harmonic series 2+x + (D) limu, ≤ 1 1+x (D) x + x³ + (9) (C)sin x cos x converges to: (D) ₂³/ 00 Q11: The radius of convergence of the infinite series Ekok! xk is: (A) 0 (B) 1 =0 (A) = (C) 1 2-X (C)/2 (D)sin²x (D) 2 (D) 0
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