Answer: [tex]\sqrt{2}a-\sqrt{3}a-2\sqrt{a}[/tex]
Step-by-step explanation:
[tex]\lim _{x\to \:a}\left(\sqrt{2}x-\sqrt{3}x-\frac{a}{\sqrt{x}}-\sqrt{a}\right)[/tex]
[tex]=\sqrt{2}a-\sqrt{3}a-\frac{a}{\sqrt{a}}-\sqrt{a}[/tex]
[tex]=\sqrt{2}a-\sqrt{3}a-2\sqrt{a}[/tex]