Question: Graph y = cos x for - x 2. On the same screen, graph for h = 1, 0.5, 0.3, and 0.1. Then,

Graph y = cos x for -π ≤ x ≤ 2π. On the same screen, graphy = sin (x + h) - sin x h


for h = 1, 0.5, 0.3, and 0.1. Then, in a new window, try h = -1, -0.5, and -0.3. What happens as h → 0+? As h → 0-? What phenomenon is being illustrated here?

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

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