I have a little confusion with signs. Thanks in advance.
$$\lim_{x \to 0^-}{\frac{-\sin|x|}{x}}$$ (This is a left limit, i.e. $x<0$)
I have a little confusion with signs. Thanks in advance.
$$\lim_{x \to 0^-}{\frac{-\sin|x|}{x}}$$ (This is a left limit, i.e. $x<0$)
$$x<0\Longrightarrow |x|=-x\Longrightarrow\frac{-\sin|x|}{x}=\frac{\sin x}{x}\xrightarrow [x\to 0^-]{}1$$