Solution) Decide if f(x) is continuous at x = 3, if f(x)={ x^2+1 x≤ 3 , 2x+6 x>3


Question: Decide if f(x) is continuous at x = 3, if

\(f(x)=\left\{ \begin{aligned} & {{x}^{2}}+1\text{ }x\le 3 \\ & 2x+6\text{ }x>3 \\ \end{aligned} \right.\)

Explain the reasoning behind the conclusion

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