The value of $3 + {1 \over {4 + {1 \over {3 + {1 \over {4 + {1 \over {3 + ....\infty }}}}}}}}$ is equal to - DASH

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Question

The value of $3 + {1 \over {4 + {1 \over {3 + {1 \over {4 + {1 \over {3 + ....\infty }}}}}}}}$ is equal to

1.5 + $\sqrt 3 $

2 + $\sqrt 3 $

3 + 2$\sqrt 3 $

4 + $\sqrt 3 $

Solution

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