Property of limit

Calculus Level 1

Two functions \(f(x)\) and \(g(x)\) satisfy the following equations: \[\lim_{x\rightarrow a}\frac{f(x)}{x-a}=3, \ \lim_{x\rightarrow a}\frac{g(x)}{x-a}=2.\] Find \[\lim_{x \rightarrow a} \frac{2f(x)+3g(x)}{f(x)-g(x)}.\]

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