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 builtin ±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 → 1cos x x 2 You may rely on the Maclaurin series ±or sin , cos: sin x = xx 3 3! + x 5 5! · · · and cos x = 1x 2 2! + x 4 4! · · · 5. Compute L 1 and L 2 using MATLAB by evaluating the expressions sin x/x and (1cos x ) /x 2 at x = 10i , i = 2 , 4 , 6 , 8 , 10. Do you observe something strange?...
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 Spring '08
 KRACZEK
 Calculus, Derivative, Taylor Series, Trigraph, Euler's formula, lecture room JGB

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