Evaluate the following limit : lim(x→0) (sin 2x + sin 3x)/(2x + sin 3x)

Question

Evaluate the following limit : \(\lim\limits_{\text x \to0}\cfrac{sin\,2\text x+sin\,3\text x}{2\text x+sin\,3\text x} \)

lim(x→0) (sin 2x + sin 3x)/(2x + sin 3x)

Answer 1

  \(\lim\limits_{\text x \to0}\cfrac{sin\,2\text x+sin\,3\text x}{2\text x+sin\,3\text x} \)

lim(x→0) (sin 2x + sin 3x)/(2x + sin 3x)