Question: a. It can be shown that the inequalities hold for all values of x close to zero. What, if anything, does this tell you about

a. It can be shown that the inequalities1 6 x sin x 2 - 2 cos x < 1

hold for all values of x close to zero. What, if anything, does this tell you about

Give reasons for your answer.

b. Graph y = 1 - (x2/6), y = (x sin x)/(2 - 2 cos x), and y = 1 together for -2 ≤ x ≤ 2. Comment on the behavior of the graphs as x→0.

1 6 x sin x 2 - 2 cos x < 1

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