Consider two functions f (x) = _ n ( x n )^ n and g(x) = –x 4b where b = _ x ( x^ 2 +x+1…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Consider two functions f (x) = \(\lim _{n \rightarrow \infty}\left(\cos \frac{x}{\sqrt{n}}\right)^{n}\)and
g(x) = –x4b where b = \(\lim _{x \rightarrow \infty}\left(\sqrt{x^{2}+x+1}-\sqrt{x^{2}+1}\right)\) Then.
g(x) is
- –x2
- x2
- x4
- –x4
Answer
(A) –x 2
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