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Continuity by Definition – Classify type of discontinuity – Exercise 817

Exercise

Given the function

f(x) = \begin{cases} \frac{x^2-4}{x-2}, &\quad x\neq 2 \\ 1, &\quad x =2\\ \end{cases}

Is it continuous?

Final Answer

The function is not continuous at the point

x =2

Solution

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