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Evaluate the following limit : \(\lim\limits_{\text x \to0}\cfrac{sin\,a\text x+b\text x}{a\text x+sin\,b\text x}, \) where a, b, a + b ≠ 0

lim(x→0) (sin ax + bx)/(ax + sin bx)

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\(\lim\limits_{\text x \to0}\cfrac{sin\,a\text x+b\text x}{a\text x+sin\,b\text x} \) 

lim(x→0) (sin ax + bx)/(ax + sin bx)

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