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Unformatted text preview: has ceased? Part II 3. [Chapra, Problem 4.3] Determine the smallest number in MATLAB that when added to one gives a number greater than one. Compare with the built-in unction eps . Hint: Do not use the variable name eps yoursel. 4. Compute manually the limits L 1 = lim x sin x x and L 2 = lim x 1-cos x x 2 You may rely on the Maclaurin series or sin , cos: sin x = x-x 3 3! + x 5 5!- and cos x = 1-x 2 2! + x 4 4!- 5. Compute L 1 and L 2 using MATLAB by evaluating the expressions sin x/x and (1-cos x ) /x 2 at x = 10-i , i = 2 , 4 , 6 , 8 , 10. Do you observe something strange?...
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- Spring '08