To find: \(\lim\limits_{\text x \to0}\cfrac{tan\,\text x-sin\,\text x}{sin\,3\text x-3\,sin\,\text x} \)
We know,
\(=-\cfrac18\)
Hence, the value of \(\lim\limits_{\text x \to0}\cfrac{tan\,\text x-sin\,\text x}{sin\,3\text x-3\,sin\,\text x} \) \(=-\cfrac18\)