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JEE Math Practice Question

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

  1. A.2 + $${2 \over 5}\sqrt {30} $$
  2. B.2 + $${4 \over {\sqrt 5 }}\sqrt {30} $$
  3. C.5 + $${2 \over 5}\sqrt {30} $$
  4. D.4 + $${4 \over {\sqrt 5 }}\sqrt {30} $$

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