In Example 3 it is stated that for all x we have | sin x| |x|.
Question:
a. Show that for all x ≥ 0we have f (x) = x−sin x is non-decreasing, which implies that sin x ≤ x with equality only when x = 0.
b. Use the fact that the sine function is odd to reach the conclusion.
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First observe that for f x x sin x we have f x 1 cos x 0 ...View the full answer
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