Absolutism
Calculus
Level
2
Consider the function over all real numbers .
Which statement is true?
It has a jump discontinuity at
It has a point discontinuity at
It has an infinite discontinuity at
It is continuous over all real numbers
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Relevant wiki: Continuous Functions
For all negative numbers, the function is equal to -1.
For all positive numbers, the function is equal to 1.
At x = 0 itself, the function becomes 0/0, which is undefined.
So it has a jump discontinuity at x = 0.