Refer to the function $g(x)$ in Figure $15 .$ At which point $c$ does $g(x)$ have a removable discontinuity? How should $g(c)$ be redefined to make $g$ continuous at $x=c$ ?
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What is a removable discontinuity? A removable discontinuity occurs at a point $c$ in the domain of a function $f(x)$ if $f(x)$ is undefined or has a hole at $x=c$, but the limit of $f(x)$ as $x$ approaches $c$ exists. In other words, there is a gap in the graph Show more…
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Refer to the function $g$ whose graph appears in Figure $16 .$ At which point $c$ does $g$ have a removable discontinuity? How should $g(c)$ be redefined to make $g$ continuous at $x=c ?$
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Limits and Continuity
Exercises $2-4$ refer to the function $g(x)$ in Figure 15. \begin{equation}\begin{array}{l}{\text { At which point } c \text { does } g(x) \text { have a removable discontinuity? How }} \\ {\text { should } g(c) \text { be redefined to make } g \text { continuous at } x=c ?}\end{array}\end{equation}
LIMITS
Refer to the function $g$ whose graph appears in Figure $16 .$ Find the point $c_{1}$ at which $g$ has a jump discontinuity but is leftcontinuous. How should $g\left(c_{1}\right)$ be redefined to make $g$ right-continuous at $x=c_{1}$ ?
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