Provide an appropriate response.What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x approaches some value of a?

A. f(a) exists, the limit of  as  from the left exists, and the limit of  as  from the right exists.
B. Either the limit of  as  from the left exists or the limit of  as  from the right exists
C. 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).
D. The limit of  as  from the left exists, the limit of  as  from the right exists, and these two limits are the same.


Answer: D

Mathematics

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