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[SOLVED] Classifying a dicontinuity

dwsmith

Well-known member
Feb 1, 2012
1,673
$f(x) = \frac{\sin x}{x}$ 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
Feb 5, 2012
1,621