# Evaluate the following limit : lim(x→0) (x - 1)/(√(x^2 + 3) - 2)

12 views
ago in Limits
closed ago

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)

+1 vote
ago by (29.7k points)
selected ago by

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 $\lim\limits_{\text x \to 0}\cfrac{\text x-1}{\sqrt{\text x^2+3}-2}$ = $\cfrac{-1}{\sqrt3-2}$