Question: Graph the function y = 2cos2x for -2 x 3.5. Then, on the same screen, graph for h = 1.0, 0.5, and 0.2.

Graph the function y = 2cos2x for -2 ≤ x ≤ 3.5. Then, on the same screen, graphy = sin 2(x + h) - sin 2x h


for h = 1.0, 0.5, and 0.2. Experiment with other values of h, including negative values. What do you see happening as h → 0? Explain this behavior.

y = sin 2(x + h) - sin 2x h

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