غاية

$\large {\color{Red} \lim_{\rightarrow 0}\frac{\sqrt{4-xsinx}-2+x^{3}}{\sqrt{4+acosx}-3}*\frac{\sqrt{4+acosx}+3} {\sqrt{4+acosx}+3}}$
${\color{DarkBlue}=\lim_{x\rightarrow 0}\frac{\sqrt{(4+acosx}+3)(\sqrt{4-xsinx}-2)+x^{3}(\sqrt{4+acosx}+3)}{a(cosx-1)}}$
${\color{DarkBlue} =\lim_{x\rightarrow 0}\frac{(\sqrt{4+acosx}+3)(4-xsinx-4)}{a(cosx-1)(\sqrt{4-xsinx}+2)}+\lim_{x\rightarrow 0}\frac{x^{3}(\sqrt{4+acosx}+3)}{a(cosx-1)}}$
${$\color{DarkBlue} =\lim_{x\rightarrow 0}\frac{(\frac{-sinx}{x})(\sqrt{4+acosx}+3)}{\frac{a(cosx-1)}{x^{2}}(\sqrt{4-xsinx}+2}+\lim_{x\rightarrow 0}\frac{x(\sqrt{4+acosx}+3)}{\frac{a(cosx-1)}{x^{2}}}{\color{DarkBlue} =\frac{(-1)(b)}{a(\frac{-1}{2})(4)}+\frac{0}{a\frac{-1}{2}}=\frac{-b}{-10}=\frac{3}{a}}}$
a=five,,b=six