Let
$f(x)=\sin\cfrac{1}{x}$
And define f(0)=0. What is the type of discontinuity in this function?
This is not removable,jump or infinite discontinuity. Then how do i call this discontinuity?
Let
$f(x)=\sin\cfrac{1}{x}$
And define f(0)=0. What is the type of discontinuity in this function?
This is not removable,jump or infinite discontinuity. Then how do i call this discontinuity?
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This is defined as “essential” discontinuity since the limit at $x=0$ doesn’t exist.