Math  /  Calculus

QuestionFirst-class postage is $0.34\$ 0.34 for the first ounce (or any fraction thereof) and $0.25\$ 0.25 for each additional ounce (or fraction thereof). Let C(x)C(x) represent the postage for a letter weighing ×\times oz. Use this information to answer the questions. a) Find limC(x)\lim C(x). Select the correct choice below and fill in any answer boxes in your choice. x3x \rightarrow 3^{-} A. limx3C(x)=$\lim _{x \rightarrow 3^{-}} C(x)=\$ \square (Type an integer or a decimal.) \square B. The limit does not exist.

Studdy Solution
Evaluate the limit limx3C(x)\lim_{x \rightarrow 3^{-}} C(x).
Since C(x)C(x) is constant in the interval 2<x<32 < x < 3, as xx approaches 3 from the left, C(x)C(x) remains $0.84\$0.84.
limx3C(x)=0.84 \lim_{x \rightarrow 3^{-}} C(x) = 0.84
Therefore, the answer to the problem is:
limx3C(x)=$0.84 \boxed{\lim_{x \rightarrow 3^{-}} C(x) = \$0.84}

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