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Let $h(x)=\frac{x}{10 \sin ^{2}(x+1)}$.$\newline$Select the correct description of the one-sided limits of $h$ at $x=-1$.$\newline$Choose $1$ answer:$\newline$(A) $\lim _{x \rightarrow-1^{+}} h(x)=+\infty$ and $\lim _{x \rightarrow-1^{-}} h(x)=+\infty$$\newline$(B) $\lim _{x \rightarrow-1^{+}} h(x)=+\infty$ and $\lim _{x \rightarrow-1^{-}} h(x)=-\infty$$\newline$(C) $\lim _{x \rightarrow-1^{+}} h(x)=-\infty$ and $\lim _{x \rightarrow-1^{-}} h(x)=+\infty$$\newline$(D) $\lim _{x \rightarrow-1^{+}} h(x)=-\infty$ and $\lim _{x \rightarrow-1^{-}} h(x)=-\infty$