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$\sqrt { \frac { 1 }{ 4 } +\frac { 3 }{ 4 } \sqrt { \frac { 1 }{ 4 } +\frac { 3 }{ 4 } \sqrt { \frac { 1 }{ 4 } +\frac { 3 }{ 4 } \sqrt { \cdots } } } }=\, ?$

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