If _ x 0 x(1+a x)-b x x^ 3 =1, then
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If \(\lim _{x \rightarrow 0} \frac{x(1+a \cos x)-b \sin x}{x^{3}}=1,\) then
- \(b=\frac{-3}{2}\)
- \(a=\frac{5}{2}\)
- \(b=\frac{-1}{2}\)
- \(\mathrm{a}=\frac{-5}{2}\)
Answer
(A) b= -3 2, (D) a = -5 2
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