Why Isn't It Reducible?

Algebra Level 4

Let A=12×34×56××20132014 A= \frac{1}{2} \times \frac{3}{4} \times \frac{5}{6} \times\cdots\times \frac{2013}{2014} B=23×45×67××20122013 B= \frac{2}{3} \times \frac{4}{5} \times \frac{6}{7} \times\cdots \times \frac{2012}{2013} C=12014 C= \frac{1}{ \sqrt{2014} }

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

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