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JEE Main 2004
Exam
JEE Main
Year
2004
Subject
Mathematics
Chapter
Limits

JEE Main 2004 · Mathematics · Limits

If _ x arrow ∞ (1+(a)/(x)+(b)/(x^2))^ 2 x =e^2 , then the values of...

If lim⁡x→∞(1+ax+bx2)2x=e2\lim _{x \rightarrow \infty}\left(1+\frac{a}{x}+\frac{b}{x^2}\right)^{2 x}=e^2, then the values of aa and bb, areIf _ x arrow ∞ (1+(a)/(x)+(b)/(x^2))^ 2 x =e^2 , then the values of a and b , are

Options

  1. Aa∈R‾‾, b∈=‾‾a \in \underline{\underline{R}}, \mathrm{~b} \in \underline{\underline{=}}
  2. Ba=1,b∈R‾a=1, b \in \underline{R}
  3. Ca∈R‾‾,b=2a \in \underline{\underline{R}}, b=2
  4. Da=1a=1 and b=2b=2

Correct answer

B. a=1,b∈R‾a=1, b \in \underline{R}

Step-by-step solution

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