Consider the function p defined on the closed interval [0,4] by p(x)=4−x. Determine whether p is continuous at x=0.
a) p is not continuous at x=0 because the left-hand limit is not defined within the domain.
b) p is not continuous at x=0 because the right-hand limit is infinite.
c) p is continuous at x=0 because the right-hand limit equals p(0).
d) p is not continuous at x=0 because p(0)=0 while the right-hand limit equals 2.