Suppose that \(a_n > 0\) for each \(n\) and that \(\displaystyle \lim _{ n\to \infty }{ \dfrac { { a }_{ n+1 } }{ { a }_{ n } } } =l\). Prove that

\[\large{\lim _{ n\to \infty }{ \sqrt [ n ]{ { a }_{ n } } } =l}.\]

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## Comments

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TopNewestPlease post the solution and the next problem(not soo hard please)

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Are the \(a_n\)'s distinct?

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It can be anything

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