Question

\[\lim_{x \to 0^-} \frac{\sin x}{\sqrt{x}} .\] 

Answer 1

\[\lim_{x \to 0^-} \left( \frac{\sin x}{\sqrt{x}} \right)\]
\[\text{ Let } x = 0 - h\]
\[\text{ If } x \to 0, \text{ then } h \to 0 . \]
\[ \lim_{h \to 0} \left( \frac{\sin \left( - h \right)}{\sqrt{- h}} \right)\]
\[\text{ The value does not exist }.\]