title: Fitting a curve
body: <p>I hope this is the right place to ask this question.</p>
  <p>I have a curve that I'd like to fit, but I don't know exactly what kind of fitting would be appropriate.</p>
  <p>The curve is the following:</p>
  <p><a href="https://i.stack.imgur.com/nlxUD.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/nlxUD.png" alt="enter image description here" /></a></p>
  <p>y is converging towards 1 when x grows to infinity.</p>
  <p>I tried something like f : x -&gt; 1-k*exp(-l*x) but the result is far from convincing.</p>
  <p>I have no clue where to start here, anyone has an idea?</p>
  <p>Here are the data used to build the above figure. it takes me 1.5 minutes to compute one point of my function.</p>
  <p>x = [0.04, 0.08, 0.12, 0.16, 0.2 , 0.24, 0.28, 0.32, 0.36, 0.4 ]</p>
  <p>y = [0.71368682, 0.79734766, 0.83832184, 0.86394632, 0.8818312 ,
  0.89515722, 0.90553446, 0.91387899, 0.92075551, 0.92653329]</p>
  <p>Thanks a lot!</p>