
Draw the graph of y = sin (1/x)
for x < 1.
Color blue the regions inside the graph
where y is positive, and red those where it is negative.

Draw and fill the curve x^{4} + y^{4} = 1.
Then do this by relying
on a method that will draw x^{n} + y^{n} = 1
for any positive integer n. What happens as n goes to infinity?

Produce the following figure:

