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6. Find the rate of convergence of lim Hint: sin(x) = h - cos(₁) ² for 0 ≤ ₁ ≤h. sin(h)-h cos(h) = 0. h cos(k)= 1- cos(2)² for 0 ≤ ₂ ≤ h.

6. Find the rate of convergence of lim Hint: sin(x) = h - cos(₁) ² for 0 ≤ ₁ ≤h. sin(h)-h cos(h) = 0. h cos(k)= 1- cos(2)² for 0 ≤ ₂ ≤ h.

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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6. Find the rate of convergence cos(¹) ³ for 0 ≤ {₁ ≤ h, 6 Hint: sin(k)= h- sin(h)-h cos(h) h of lim h→0 cos(h) = 1- = 0. cos(₂)² for 0 ≤ 2 ≤h. 2
Transcribed Image Text:6. Find the rate of convergence cos(¹) ³ for 0 ≤ {₁ ≤ h, 6 Hint: sin(k)= h- sin(h)-h cos(h) h of lim h→0 cos(h) = 1- = 0. cos(₂)² for 0 ≤ 2 ≤h. 2
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