Move the epsilon slider to set a "target" for the values around the limit (which is 2 in this case). Try to find a value of delta so that, for any value of x in the interval around 1 (on the x-axis), the function value lies on the green line. Verify this by using the h slider.
The limit as [i]x[/i] approaches [i]c[/i] of a function [i]f[/i] is equal to [i]L[/i] if, for any interval around [i]L[/i] determined by positive value epsilon, we are able to find an interval around [i]c[/i] determined by positive value delta so that every value of [i]x[/i] in the interval (except possibly at [i]c[/i] itself) has a function value in the epsilon interval.