$=\mathop {\lim }\limits_{x \to 1}[\frac{\sqrt{5-x^{3}}-2}{x^{2}-1}+\frac{2-\sqrt[3]{7+x^{2}}}{x^{2}-1}]=\mathop {\lim }\limits_{x \to 1}[\frac{1-x^{3}}{(x^{2}-1)(\sqrt{5-x^{3}}+2)}+\frac{1-x^{2}}{(x^{2}-1)(4+2\sqrt[3]{7+x^{2}}+\sqrt[3]{(7+x^{2})^{2}}}]$
$=\mathop {\lim }\limits_{x \to 1}[\frac{-x^{2}-x-1}{(x+1)(\sqrt{5-x^{3}}+2)}-\frac{1}{4+2\sqrt[3]{x^{2}+7}+\sqrt[3]{(7+x^{2})^{2}}}]=\frac{-11}{24}$