Sarthaks Test
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Evaluate the following limit : \(\lim\limits_{\text x \to 0}\cfrac{\text x-1}{\sqrt{\text x^2+3}-2} \)

lim(x→0) (x - 1)/(√(x2 + 3) - 2)

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Given \(\lim\limits_{\text x \to 0}\cfrac{\text x-1}{\sqrt{\text x^2+3}-2} \) 

To find: the limit of the given equation when x tends to 0

Substituting x as 0, we find that it is in non-indeterminant form so by substituting x as 0 we will directly get the answer

We get \(\lim\limits_{\text x \to 0}\cfrac{\text x-1}{\sqrt{\text x^2+3}-2} \) = \(\cfrac{-1}{\sqrt3-2}\) 

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