Questions: Consider the function f(x)=x^2-5x if x<3 7x-4 if x≥3. Evaluate lim x→3+ f(x) and lim x→3+ f(x). a.) lim x→3− f(x)=-6 lim x→3+ f(x)=-6 b.) lim x→3− f(x)=-6 lim x→3+ f(x)=17 c.) lim x→3− f(x)=17 lim x→3+ f(x)=17 d.) lim x→3− f(x)=17 lim x→3+ f(x)=-6
Transcript text: Consider the function $f(x)=\left\{\begin{array}{ll}x^{2}-5 x & \text { if } x<3 \\ 7 x-4 & \text { if } x \geq 3\end{array}\right.$.
Evaluate $\lim _{x \rightarrow 3^{+}} f(x)$ and $\lim _{x \rightarrow 3^{+}} f(x)$.
a.) $\lim _{x \rightarrow 3^{-}} f(x)=-6$
$\lim _{x \rightarrow 3^{+}} f(x)=-6$
b.)
\[
\begin{array}{l}
\lim _{x \rightarrow 3^{-}} f(x)=-6 \\
\lim _{x \rightarrow 3^{+}} f(x)=17
\end{array}
\]
c.)
\[
\begin{array}{l}
\lim _{x \rightarrow 3^{-}} f(x)=17 \\
\lim _{x \rightarrow 3^{+}} f(x)=17
\end{array}
\]
d.)
\[
\begin{array}{l}
\lim _{x \rightarrow 3^{-}} f(x)=17 \\
\lim _{x \rightarrow 3^{+}} f(x)=-6
\end{array}
\]
Solution
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