The sequence ( left {a_{n} right } ) is defined recursively by: [ a_{1}= frac{1}{2}, a_{n+1}= sqrt{3 a_{n}+4}, n=1,2,3, ldots ] Assuming the sequence converges to the real number ( L ), find ( L ). Instruction : If there is more than one value of ( L ), such as ( 5,-3,7 ), Enter your answer as 5,-3,7 No spaces please.

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The sequence  (  left {a_{n} right }  ) is defined recursively by:  [ a_{1}= frac{1}{2}, a_{n+1}= sqrt{3 a_{n}+4}, n=1,2,3,  ldots  ] Assuming the sequence converges to the real number  ( L  ), find  ( L  ). Instruction : If there is more than one value of  ( L  ), such as  ( 5,-3,7  ), Enter your answer as 5,-3,7 No spaces please.

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(Solved): The sequence \( \left\{a_{n}\right\} \) is defined recursively by: \[ a_{1}=\frac{1}{2}, a_{n+1}=\ ...

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