If _ x 0 x(1+a x)-b x x^ 3 =1, then

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

If \(\lim _{x \rightarrow 0} \frac{x(1+a \cos x)-b \sin x}{x^{3}}=1,\) then
  1. \(b=\frac{-3}{2}\)
  2. \(a=\frac{5}{2}\)
  3. \(b=\frac{-1}{2}\)
  4. \(\mathrm{a}=\frac{-5}{2}\)

Answer

(A) b= -3 2, (D) a = -5 2

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