Math  /  Calculus

QuestionGiven the table values of f(x)f(x) for xx near 4, which limit conclusion is correct? (A) limx4f(x)=6\lim _{x \rightarrow 4} f(x)=6 (B) limx4f(x)=7\lim _{x \rightarrow 4} f(x)=7 (C) limx4f(x)=6\lim _{x \rightarrow 4^{-}} f(x)=6 and limx4+f(x)=7\lim _{x \rightarrow 4^{+}} f(x)=7 (D) limx4f(x)=7\lim _{x \rightarrow 4^{-}} f(x)=7 and limx4+f(x)=6\lim _{x \rightarrow 4^{+}} f(x)=6

Studdy Solution
Therefore, the conclusion supported by the data in the table is that limx4f(x)=6\lim{x \rightarrow4^{-}} f(x)=6 and limx4+f(x)=7\lim{x \rightarrow4^{+}} f(x)=7, which corresponds to option (C).
The answer is (C) limx4f(x)=6\lim{x \rightarrow4^{-}} f(x)=6 and limx4+f(x)=7\lim{x \rightarrow4^{+}} f(x)=7.

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