It's in the title. I am looking for simple function that passes through 0, square root like, never reaches 100, but comes closer and closer to it.
I'm sure this is very basic, nothing fancy. But I don't know it now.
Thanks a lot!
It's in the title. I am looking for simple function that passes through 0, square root like, never reaches 100, but comes closer and closer to it.
I'm sure this is very basic, nothing fancy. But I don't know it now.
Thanks a lot!
What about $ x \mapsto \frac{100}{\pi/2}\arctan $?
There are infinite solutions to your request, one can be
$ f(x)=100\frac{\sqrt x}{1+\sqrt x} $