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
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: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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