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Q.

If α,βare the roots of the equation  375x225x2=0 then  Limnr=1nαr+Limnr=1nβr is equal to

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a

21346

b

29358

c

7116

d

112

answer is A.

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Detailed Solution

Given

=α1α+β1β=α+β2αβ1α+β+αβ=29348=112

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If α,βare the roots of the equation  375x2−25x−2=0 then  Limn→∞ ∑r=1nαr+Limn→∞ ∑r=1nβr is equal to