Click on the point and drag it to see what happens with as approaches the origin . Use an appropriate limit to find the limiting position of or to explain why there is no limiting position.

Suppose that the -coordinate of point is . What is the -coordinate of ?

Find the coordinates of the midpoint of line segment .

Let be the -coordinate of the point . Find a formula for in terms of .

Use an appropriate limit to determine what happens with as approaches the origin. If your result seems counterintuitive, use the GeoGebra applet above to validate what you've found.