Numerical Methods for Ordinary Differential Equations: Initial Value Problems

NOTE:

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5. Consider the following limit: sin(h) - h cos(h) lim F(h) = lim- "EL h40 h (a) What is the value of L? (b) What is the convergence rate to L? (c) Modify the numerator of F(h) so that the convergence rate improves by two powers of h. 5. Consider the following limit: sin(h) - h cos(h) lim F(h) = lim- "EL h40 h (a) What is the value of L? (b) What is the convergence rate to L? (c) Modify the numerator of F(h) so that the convergence rate improves by two powers of h