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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)/( sqrt( 5)) sqrt( 30)`

B

`5+ (2)/( 5) sqrt( 30)`

C

`4+ ( 4)/( sqrt(5)) sqrt( 30)`

D

`2 + ( 2)/( 5) sqrt( 30)`

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