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# For the following exercise, use the graph of $f$ in as we discussed earlier.At what values of $x$ is $f$ discontinuous? What property of continuity is violated?

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Answered 2 years ago
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In this exercise, we need to determine for which values ​​of $x$ the function $f (x)$ is discontinuous

We will use the definition of continuity for which the following applies:

A function $f(x)$ is continuous at $x = a$ provided all three of the following conditions hold true

• Condition $1$: $f(a)$ exists.

• Condition $2$: $\lim_{x \to a}f (x)$ exists at $x = a$.

• Condition $3$: $\lim_{x\to a}f(x)=f (a)$.

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