Question: Graph y = (sin x)/x, y = (sin 2x)/x, and y = (sin 4x)/x together over the interval -2 x 2. Where does

Graph y = (sin x)/x, y = (sin 2x)/x, and y = (sin 4x)/x together over the interval -2 ≤ x ≤ 2. Where does each graph appear to cross the y-axis? Do the graphs really intersect the axis? What would you expect the graphs of y = (sin 5x)/x and y = (sin (-3x))/x to do as x→ 0? Why? What about the graph of y = (sin kx)/x for other values of k? Give reasons for your answers.

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