Addition never end

Algebra Level 2

110+110+110+110+110+110+110+110+110+\sqrt { 110+\sqrt { 110+\sqrt { 110+\sqrt { 110+\sqrt { 110+\sqrt { 110+\sqrt { 110+\sqrt { 110+\sqrt { 110+\cdots } } } } } } } } }

Find the value of the infinitely nested function above.

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