_ x 0 [ x ^ -1 x-x^ 2 x^ 6 ] equals

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

\(\lim _{x \rightarrow 0}\left[\frac{\sin x \cdot \sin ^{-1} x-x^{2}}{x^{6}}\right] \text { equals }\)
  1. \(\frac{1}{3}\)
  2. \(m \mid m\)
  3. \(\frac{1}{18}\)
  4. Doesn't exist

Answer

(C) 1 18

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