Provide an Appropriate Response $\rightarrow$ A from the Left Exists, the Limit of F(x) As to Conclude

question 61

Multiple Choice

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) The limit of f(x) as x \(\rightarrow\)a from the left exists, the limit of f(x) as \(\rightarrow\)a from the right exists, and at least one of these limits is the same as f(a).
• B) The limit of f(x) as \(\rightarrow\)a from the left exists, the limit of f(x) as \(\rightarrow\)a from the right exists, and these two limits are the same.
• C) Either the limit of f(x) as \(\rightarrow\)a from the left exists or the limit of f(x) as \(\rightarrow\)a from the right exists
• D) f(a) exists, the limit of f(x) as \(\rightarrow\)a from the left exists, and the limit of f(x) as \(\rightarrow\)a from the right exists.

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