Question: a. Show that - |x| x sin 1/x |x|, for x 0. b. Illustrate the inequalities in part (a) with a graph.

a. Show that - |x| ≤ x sin 1/x ≤ |x|, for x ≠ 0.

b. Illustrate the inequalities in part (a) with a graph.

c. Use the Squeeze Theorem to show that limx→0 x sin 1/x = 0.

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