Math  /  Calculus

QuestionGiven the table of values for f(x)f(x) at xx near 4, what limit conclusion is supported? (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
So, the limit of f(x)f(x) as xx approaches4 from the left side is6 and from the right side is7. This means the correct 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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