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.
Last edited by Country Boy; October 29th, 2017 at 03:12 AM. 
October 29th, 2017, 10:02 AM  #5 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,266 Thanks: 934 Math Focus: Wibbly wobbly timeywimey stuff. 
Here's a look. Dan 
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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functionhow, graphing, infinite 
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