Lebesgue Measure of the Set {1/n} - Proof and Explanation

The Lebesgue measure of the set '{1/n : n = 1, 2, ...}' is 0. This is because the set is countable, meaning its elements can be put into a one-to-one correspondence with the natural numbers. Since the Lebesgue measure of any countable set is 0, the measure of this set is also 0.