If alpha, beta be roots of the equation ...

If `alpha, beta` be roots of the equation `375x ^(2) -25x-2=0 and s _(n) = alpha ^(n) +beta ^(n),` then `lim _( x to oo) lim _( x to oo) (sum _(r =1) ^(n ) S_(r))=`

A

`1/12`

B

`1/4`

C

`1/3`

D

`1`

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A

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