0

If exist homepage or method, please tell me.

I want see some image of graph like $y=x^2\sin\left(1/x\right)$ or $y=\frac{\ln(x)}{x}$.

Of course, I know that they are not complex, but I want to see it sketched lovely.

I know mathematica, but I don't have it.

2 Answers2

3

Here is a plot of the function $f(x)=x^2\sin(1/x)$. Note that since $$|\sin(1/x)|\leq 1$$ so $$-x^2\leq f(x)\leq x^2$$ You see this squeezed function between two blue ones.

enter image description here

Mikasa
  • 67,374
2

There are plenty of options online if you google. One nice alternative is Wolfram Alpha. For one of the plots you want, see here. It should be straightforward to generalise.