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If lim(x→∞)(1 + a/x + b/x^2)^2x = e^2 , then the values of a and b,

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If lim(x→∞)(1 + a/x + b/x2)2x = e2 , then the values of a and b, are 

(a) a ∈ R, b = 2 

(b) a = 1, b ∈ R

(c) a ∈ R, b ∈ R 

(d) a = 1 and b = 2.

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