Telescoping Fractions 1

Level 2

Does $\dfrac { 1 }{ 2 } \cdot \dfrac { 3 }{ 4 } \cdot \dfrac { 5 }{ 6 } \cdot \dfrac { 7 }{ 8 } ...$ converge?

Yes, it converges to a positive rational number No, it diverges to infinity Yes, it converges to an irrational number Yes, it converges to 0 Yes, it converges to a negative integer No, it diverges to something other than infinity Yes, it converges to a positive integer Yes, it converges to a negative rational number