Irrational Number

We have $b_n$ a sequence defined by:

$b_n = $ (1 if n is primary, 0 if not)

Let there be a $x \in \R$ such that its decimal representation is $x = 0, b_1 b_2 b_3 ....$

a. Prove that $x \notin \mathbb{Q}$
b. Show that $\frac{1}{91} < x < \frac{1}{90}$

Set Theory
Robin Velkovik Robin Velkovik
11
Report

Answer

Answers can only be viewed under the following conditions:
  1. The questioner was satisfied with and accepted the answer, or
  2. The answer was evaluated as being 100% correct by the judge.
View the answer

1 Attachment

Stan Chan Stan Chan
17
The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to a 50% commission on every question that your affiliated users ask or answer.