# [SOLVED]Classifying a dicontinuity

#### dwsmith

##### Well-known member
$f(x) = \frac{\sin x}{x}$ 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?

#### Sudharaka

##### Well-known member
MHB Math Helper
$f(x) = \frac{\sin x}{x}$ 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?
No this is a removable discontinuity.