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If x=sqrt(1+sqrt(1+sqrt(1+...infty,))) t...

If `x=sqrt(1+sqrt(1+sqrt(1+...infty,)))` then x is equal to

A

`(1+sqrt5)/2`

B

`(1-sqrt5)/2`

C

`(1+-sqrt5)/2`

D

None of these

Text Solution

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The correct Answer is:
A
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