Proof of Continuity – A split function with a rational function – Exercise 6223

Exercise

Given the function

f(x) = \begin{cases} \frac{3x^2-5x-2}{3x^2-12}, &\quad 2 \neq x\geq 0\\ 1, &\quad x \neq 2\\ \end{cases}

Is it continuous?

Final Answer

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Solution

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