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Question Number 55640 by gunawan last updated on 01/Mar/19

known real numbers sequence

{a_{n}} and {b_{n}} both of them

convergences to 0 .

If {b_{n}} monotonous descend

and \lim_{n \to \infty} \frac{a_{n + 1} - a_{n}}{b_{n + 1} - b_{n}} .

then \lim_{n \to \infty} \frac{a_{n}}{2 b_{n}} = . .