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NDA Math Limit, Continuity and Differentiability

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For the next two (2) items that follow :
Given that

lim

x→∞

(

2+x2

1+x

−Ax−B)=3

[NDA I 2015]

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Question : 86

Total: 105

What is the value of A ?

- 1
1
2
3

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