a. It can be shown that the inequalities hold for all values of x close to zero...

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

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