Author Question: What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x ... (Read 564 times)

bobbie · **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.

morrie123456 · **Reply #1 on:** Jun 16, 2021

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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 · **Reply #2 on:** Sep 6, 2022

Thank you

Author Question: What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x ... (Read 564 times)

bobbie

What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x ...

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morrie123456

What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x ...

J Tri

Re: What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x