If _ x (1+ a x + b x^ 2 )^ 2 x =e^ 2 then the values of a and b are
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \(\lim _{x \rightarrow \infty}\left(1+\frac{a}{x}+\frac{b}{x^{2}}\right)^{2 x}=e^{2}\)then the values of a and b are
- a ∈ R, b ∈ R
- a = 1, b ∈ R
- a ∈ R, b = 2
- a = 1, b = 2
Answer
(B) a = 1, b ∈ R
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