Question: Graph f(x) = sin nx/x, for n = 1, 2, 3, and 4 (four graphs). Use the window [-1, 1] [0, 5]. a. Estimate

Graph f(x) = sin nx/x, for n = 1, 2, 3, and 4 (four graphs). Use the window [-1, 1] × [0, 5].

a. Estimate limx→0 sin x/x, limx→0 sin 2x/x, limx→0 sin 3x/x, and limx→0 sin 4x/x.

b. Make a conjecture about the value of limx→0 sin px/x, for any real constant p.

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