0

In maple how can i find the asymptotic curve of $\frac{x}{lnx}$

I'd appreciate if one can tell me what's the output as well.

thanks.

fady
  • 33
  • 3
  • Are you trying to graph $y=\frac{x}{\ln x}$? – anon Jan 13 '14 at 07:52
  • im trying to find it's asymptotic curve. – fady Jan 13 '14 at 08:00
  • Looking up "asymptotic curve," it seems these things are defined for surfaces and you have not provided a surface. Perhaps you are looking for a curve that looks asymptotically like that of $x/\ln x$, similar to asymptotes in elementary math. What exactly are you looking for, then? You won't get a function any more basic than $x/\ln x$ itself that has sufficiently similar-looking curve. – anon Jan 13 '14 at 08:03
  • for example: the asymptotic curve of $f(x)=x+\frac{1}{x}$ is the line $y=x$ – fady Jan 13 '14 at 08:11
  • Okay. An asymptotic curve of $\frac{x}{\ln x}$ is ... $\frac{x}{\ln x}$. Like I said, you will not find any function more basic than this with a sufficiently similar looking curve. – anon Jan 13 '14 at 08:13

1 Answers1

1

What you are looking for is properly called an "asymptotic series" rather than an "asymptotic curve". The Maple command is asympt(x/ln(x), x), but Maple's response is simply $x/ln(x)$, like @anon said.

Carl Love
  • 1,193