Motivation for Limits: f(x) = sin(x)/x

Consider the function f(x) = sin(x)/x.
We know that f(0) is undefined because of division by zero.
What does the rest of the graph look like?
Drag the point "x" along the x-axis to trace out the graph of f(x).
What does it "look like" f(0) should be?

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Click the check box to show the graph of f(x).
Hold down control and use your mouse wheel to zoom in and out.

Jason McCullough, Created with GeoGebra