Question$\lim _{x \rightarrow 0^{+}} x-1-\frac{2 \ln x^{2}}{\sqrt{x}}$

Studdy Solution
Evaluate the limit:
The dominant term as $x \rightarrow 0^+$ is $\frac{4 \ln x}{\sqrt{x}}$, which tends to $-\infty$.
Thus, the limit is:
$$\lim _{x \rightarrow 0^{+}} \left( x - 1 - \frac{4 \ln x}{\sqrt{x}} \right) = -\infty$$
The value of the limit is:
$$\boxed{-\infty}$$