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Few days ago I was playing with graphing tool . For some function the graph came out to be like this-

enter image description here

When I zoomed it where it begins,it gave graph like this-

enter image description here

I was curious to know weather function is increasing just after $x=0$ or decreasing. But unfortunately I don’t remember what function I wrote that time. Can someone please help me becuase I keep thinking about this.

mrtaurho
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Hmmmm
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1 Answers1

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Try $x \sin(1/x)$.

For more generality, try

$x^a\sin(1/x^b)$ for different values of $a$ and $b$.

marty cohen
  • 107,799