Let a. Find limx0 f (x). b. Use four-digit rounding arithmetic to evaluate f (0.1). c. Replace

Question:

Let

a. Find limx†’0 f (x).
b. Use four-digit rounding arithmetic to evaluate f (0.1).
c. Replace each trigonometric function with its third Maclaurin polynomial, and repeat part (b).
d. The actual value is f (0.1) = ˆ’1.99899998. Find the relative error for the values obtained in parts (b) and (c).