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Answer: [tex]\frac{a}{3}-\frac{2}{3}-\frac{a}{2}[/tex]
Step-by-step explanation:
[tex]\lim _{x\to \:a}\left(\frac{x^1}{3}-\frac{\frac{a^1}{3}}{\frac{x^1}{2}}-\frac{a^1}{2}\right)[/tex]
[tex]=\frac{a^1}{3}-\frac{\frac{a^1}{3}}{\frac{a^1}{2}}-\frac{a^1}{2}[/tex]
[tex]=\frac{a}{3}-\frac{2}{3}-\frac{a}{2}[/tex]