Time I

Given the function $f(x)=tan(\frac{}{4}xsin(\frac{1}{x})),$ it is true that

Select one:

$\underset{x{0}^{}}{lim}f(x)$ does not exist

$\underset{x{0}^{}}{lim}f(x)=1$ and $\underset{x{0}^{-}}{lim}f(x)=1$

$\underset{x0}{lim}|f(x)|=$

$\underset{x{0}^{}}{lim}f(x)=1$ and $\underset{x{0}^{-}}{lim}f(x)=-1$

$\underset{x{0}^{}}{lim}f(x)=0$