Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically.
When I graph this, as it is going to 1 it looks like it reaches and passes 0.5...
The point P(1, 1/9) lies on the curve y = x/(8 + x). If Q is the point (x, x/(8 + x)), use a scientific calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
If you could just help me with how to solve these I should be able to work them out myself.