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

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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