12. (3 points) Stolz Theorem. Let (yn) be a strictly increasing sequence (at least for all...
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12. (3 points) Stolz Theorem. Let (yn) be a strictly increasing sequence (at least for all n > N for some N) such that limn→∞ yn = ∞. Then In In In-1 lim = lim n→∞ Yn nx Yn Yn-1 then limno bn = a. if the limit on the right hand side exists (finite or infinite). Apply the Stoltz Theorem to prove the following. If limnan = a and bn - = - a₁ + a₂ +.. + an n ... 12. (3 points) Stolz Theorem. Let (yn) be a strictly increasing sequence (at least for all n > N for some N) such that limn→∞ yn = ∞. Then In In In-1 lim = lim n→∞ Yn nx Yn Yn-1 then limno bn = a. if the limit on the right hand side exists (finite or infinite). Apply the Stoltz Theorem to prove the following. If limnan = a and bn - = - a₁ + a₂ +.. + an n ...
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