The value of $4 + {1 \over {5 + {1 \over {4 + {1 \over {5 + {1 \over {4 + ......\infty }}}}}}}}$ is :

Question

2 + ${2 \over 5}\sqrt {30} $

2 + ${4 \over {\sqrt 5 }}\sqrt {30} $

5 + ${2 \over 5}\sqrt {30} $

4 + ${4 \over {\sqrt 5 }}\sqrt {30} $

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