- Thread starter
- #1
Alexmahone
Active member
- Jan 26, 2012
- 268
Given any irrational number c > 0, prove that there is a strictly decreasing sequence of rational numbers that converges to c.
Let n be a positive integer. Then there is rational number q_n such that c < q_n < c+1/n (denseness of rationals).Given any irrational number c > 0, prove that there is a strictly decreasing sequence of rational numbers that converges to c.