How many atoms are in one mole of uranium? A. 6.02 x 10^-23
B. Avogadro's number
C. 6.02 x 10^24
D. 6,020,000,000,000,000,000,000,000

Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k