Question 37

Mathematics Limit of Functions Hard

If&nbsp;<span class="math-tex">\(\displaystyle\lim_{x\rightarrow \infty}\left(1+ \dfrac{a}{x}+\dfrac{b}{x^2}\right)^{2x}=e^2\)</span>, then the value of a and b are

(A) a&nbsp;&isin; R, b = 2
(B) a = 1, b&nbsp;&isin; R
(C) a&nbsp;&isin; R, b&nbsp;&isin; R
(D) None of these
View Dynamic Solution & Explanation
Correct Solution: Option B

Step-by-step Solution:

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