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2009年10月3日 · sin(1/x) In my most recent calculus classes, I wanted to show my kids their first “not nice” functions. After being introduced to how to find limits graphically (fancy way of saying: looking at the graph of a function) and numerically (fancy way of saying: using the graphing calculator’s TABLE function to guesstimate limits), I wanted to ...

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Below are plots of sin(1/x) for small positive x. We can see that as x gets closer to zero, the function keeps wobbling (or oscillating) back and forth between -1 and 1. In fact, sin(1/x) wobbles between -1 and 1 an infinite number of times between 0 …

Graph: y = sin 1/x Author: YK Lau To illustrate the shape of the graph of : Move the slider to see more the graph where the points are close to the origin.

How to plot the graph of function $f(x) = \sqrt{8\sin^2x+4\cos^2x-8\sin{x}\cos{x}}$?