# Why Isn't It Reducible?

Algebra Level 4

Let $A= \frac{1}{2} \times \frac{3}{4} \times \frac{5}{6} \times\cdots\times \frac{2013}{2014}$ $B= \frac{2}{3} \times \frac{4}{5} \times \frac{6}{7} \times\cdots \times \frac{2012}{2013}$ $C= \frac{1}{ \sqrt{2014} }$

Which of the following statements is true?
$1. A < B < C$
$2. A < C < B$
$3. B < A < C$
$4. B < C < A$
$5. C < A < B$
$6. C < B < A$
$7.$ Two of them are equal
$8.$ All of them are equal

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