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Let
f (x) = (ex − e−x)/x.
a. Find limx→0 (ex − e−x)/x.
b. Use three-digit rounding arithmetic to evaluate f (0.1).
c. Replace each exponential function with its third Maclaurin polynomial, and repeat part (b).
d. The actual value is f (0.1) = 2.003335000. Find the relative error for the values obtained in parts (b) and (c). |
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