What Does Removable Discontinuity Mean
A Function Being Continuous at a Point Means That the Two-Sided Limit at That Point Exists and Is Equal to the Function’s Value. Point/Removable Discontinuity...
What Does Removable Discontinuity Mean?
A function being continuous at a point means that the two-sided limit at that point exists and is equal to the function’s value. Point/removable discontinuity is when the two-sided limit exists, but isn’t equal to the function’s value.
sided limit
A one-sided limit is the value the function approaches as the x-values approach the limit from *one side only*. For example, f(x)=|x|/x returns -1 for negative numbers, 1 for positive numbers, and isn’t defined for 0. The one-sided *right* limit of f at x=0 is 1, and the one-sided *left* limit at x=0 is -1.
› one-sided-limits-from-graphs
at that point exists and is equal to the function’s value. Point/removable discontinuity is when the two-sided limit exists, but isn’t equal to the function’s value.
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