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Author Question: What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x ... (Read 563 times)

bobbie

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on: Jun 16, 2021
What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x approaches some value of a?
◦ Either the limit of  as  from the left exists or the limit of  as  from the right exists
◦ The limit of  as  from the left exists, the limit of  as  from the right exists, and at least one of these limits is the same as f(a).
◦ f(a) exists, the limit of  as  from the left exists, and the limit of  as  from the right exists.
◦ The limit of  as  from the left exists, the limit of  as  from the right exists, and these two limits are the same.
Calculus and Its Applications ¦ Bittinger, Ellenbogen, Surgent ¦ 11th Edition
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Marked as best answer by bobbie on Jun 16, 2021

morrie123456

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Reply #1 on: Jun 16, 2021
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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J Tri

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Reply #2 on: Sep 6, 2022
Thank you


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