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If `a_(n)` and `b_(n)` are positive integers and `a_(n)+sqrt2b_(n)=(2+sqrt2)^(n)`, then `lim_(nrarroo) ((a_(n))/(b_(n)))`=

A

`sqrt2`

B

2

C

`e^(sqrt2)`

D

`e^(2)`

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The correct Answer is:
A
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