Hello could you please help me solve this limit? $$\lim_{n\to\infty}\frac{(a-1)^{-n+1}}{a^{-n-1}},\quad a\ge1.$$
2026-03-26 21:25:46.1774560346
Find $\lim_{n\to\infty}\frac{(a-1)^{-n+1}}{a^{-n-1}}$
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Hint: Write your term in the form $$\left(1-\frac{1}{a}\right)^{-n}a(a-1)$$