Consider the limit \( \lim _{x \rightarrow 0} \frac{1}{x^{3}}\left(\frac{1}{\sqrt{1+x}}-\frac{(1...

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Consider the limit \( \lim _{x \rightarrow 0} \frac{1}{x^{3}}\left(\frac{1}{\sqrt{1+x}}-\frac{(1+a x)}{(1+b x)}\right) \) exists, finite and has the value equal to \( l \) (where \( a, b \) are real constants), then : \( a= \)
(a) 1
(b) \( \frac{3}{4} \)
(c) \( \frac{1}{2} \)
(d) \( \frac{1}{4} \)
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