$$\lim_{n \to \infty} \frac{5a_n+6}{a_n-1}=6$$

Calculus Level 1

If sequence $$\{a_n\}$$ satisfies $\lim_{n \to \infty} \frac{5a_n+6}{a_n-1}=6,$ what is the value of $$\displaystyle \lim_{n \to \infty}a_n?$$

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