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Let alpha(n) =(2+sqrt(3))^(n). Find lim...

Let `alpha_(n) =(2+sqrt(3))^(n)`. Find `lim_(n to oo) (alpha_(n)-[alpha_(n)])`([.] denotes greateset integer function)

A

1

B

`(1)/(2)`

C

`(1)/(3)`

D

`(2)/(3)`

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