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Provide an appropriate response. Is the function given by f(x) = 24x + 1 continuous at x = 3? Why or why not? O No, lim f(x) does not exist X_3 Yes, lim f(x) = f(3) X-3

Answer :

[tex]\begin{gathered} f(x)=24x+1 \\ x=3 \\ f(3)=24(3)+1 \\ f(3)=72+1 \\ f(3)=73 \\ \text{Let's find the limit:} \\ \lim _{x\to3}f(x)=\lim _{x\to3}24x+1=24\times3+1=73=f(3) \\ \text{Answer:} \\ \text{Yes, }\lim _{x\to3}f(x)=f(3) \end{gathered}[/tex]

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