The value of a for which _ x 0 (e^ x -1 )^ 4 ( x^ 2 a^ 2 ) _ e 1+ x^ 2 2 =8, is
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
The value of a for which
\[\lim _{x \rightarrow 0} \frac{\left(e^{x}-1\right)^{4}}{\sin \left(\frac{x^{2}}{a^{2}}\right) \log _{e}\left\{1+\frac{x^{2}}{2}\right\}}=8,\]is
\[\lim _{x \rightarrow 0} \frac{\left(e^{x}-1\right)^{4}}{\sin \left(\frac{x^{2}}{a^{2}}\right) \log _{e}\left\{1+\frac{x^{2}}{2}\right\}}=8,\]is
- –2
- –1
- 1
- 2
Answer
(A) –2, (D) 2
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