What is a Limit?
How to graphical approach a Limit?
How to graph Discontinuities?
What is a Removable Discontinuity?
As shown above, the limit value at x = 1 is equal to 2, as both the left and right hand limits approach 2. This point is represented by an open circle on a graph, indicating that the function value of f(1) is undefined.
What is a Non-Removable Discontinuity?
These functions have a vertical asymptote, indicating that the limit is undefined if the left and right-hand limits go in opposite directions, or if the left and right hand limits go in the same direction, the limit is +/- infinity.