The value of 4 + (1)/(5 + (1)/(4+ (1)/(5...

The value of `4 + (1)/(5 + (1)/(4+ (1)/(5+ (1)/(4+....oo))))` is

A

`2+ (4)/(sqrt5) sqrt30`

B

`2+ (2)/(5) sqrt30`

C

`5+ (2)/(5) sqrt30`

D

`4+ (4)/(sqrt5) sqrt30`

Verified by Experts

The correct Answer is:

B

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