Double Factorial Sum?

Calculus Level 5

\[\dfrac { 1 }{ 2\cdot 4 } +\dfrac { 1\cdot3 }{ 2\cdot4\cdot6 } +\dfrac { 1\cdot3\cdot5 }{ 2\cdot4\cdot6\cdot8 } +\dfrac { 1\cdot3\cdot5\cdot7 }{ 2\cdot4\cdot6\cdot8\cdot10 } + \ldots = \ ? \]

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