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 October 29th, 2017, 01:42 AM #1 Newbie   Joined: Oct 2017 From: azerbaijan Posts: 6 Thanks: 0 Graphing infinite function.How to? How can i graph this function?
 October 29th, 2017, 02:25 AM #2 Senior Member   Joined: Dec 2015 From: somewhere Posts: 634 Thanks: 91 Use "Desmos Graphing" in google Last edited by idontknow; October 29th, 2017 at 02:28 AM.
 October 29th, 2017, 02:37 AM #3 Newbie   Joined: Oct 2017 From: azerbaijan Posts: 6 Thanks: 0 I know about desmos. But problem is the graph is infinitely getting smaller and smaller and i have to graph it on a paper.
 October 29th, 2017, 03:08 AM #4 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 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. Thanks from lonelymice Last edited by Country Boy; October 29th, 2017 at 03:12 AM.
October 29th, 2017, 10:02 AM   #5
Math Team

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Math Focus: Wibbly wobbly timey-wimey stuff.
Here's a look.

-Dan
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 October 29th, 2017, 10:58 AM #6 Newbie   Joined: Oct 2017 From: azerbaijan Posts: 6 Thanks: 0 Thank you very much for your help guys

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