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October 29th, 2017, 02:42 AM   #1
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Graphing infinite function.How to?

How can i graph this function?
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October 29th, 2017, 03:25 AM   #2
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Use "Desmos Graphing" in google

Last edited by idontknow; October 29th, 2017 at 03:28 AM.
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October 29th, 2017, 03:37 AM   #3
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I know about desmos. But problem is the graph is infinitely getting smaller and smaller and i have to graph it on a paper.
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October 29th, 2017, 04:08 AM   #4
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sin(x) for any x lies between -1 and 1 so it easy to see that as x goes to 0, x sin(1/x) goes to 0. But there will be an infinite number of oscillations between any positive value of x and x= 0. The section close to x= 0 will be just a "blur". There is no way to show that accurately. You can note that, since sin(x)= 0 for x any integer multiple of $\displaystyle \pi$, sin(1/x) and so xsin(1/x) will be 0 for $\displaystyle x= 1/n\pi$. Taking n= 1, 2, 3, ... those are at $\displaystyle 1/\pi$ which is about 0.3283, $\displaystyle 1/2\pi$ which is about 0.1591, $\displaystyle 1/3\pi$ which is about 0.1061, $\displaystyle 1/4\pi$ which is about 0.0796, etc. until they get too close together to distinguish.
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Last edited by Country Boy; October 29th, 2017 at 04:12 AM.
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October 29th, 2017, 11:02 AM   #5
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Math Focus: Wibbly wobbly timey-wimey stuff.
Here's a look.

-Dan
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October 29th, 2017, 11:58 AM   #6
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Thank you very much for your help guys
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