- Thread starter
- #1

- Thread starter dwsmith
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- Thread starter
- #1

- Feb 5, 2012

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No this is a removable discontinuity.$f(x) = \frac{\sin x}{x}$ if $x\neq 0$, $f(0) = 0$.

We know that the $\lim\limits_{n\to 0}f(x) = 1$. Since $f(0) = 0$, we will have a jump discontinuity.

Is this correct reasoning?