Economics 214 Lecture 5 Limits and Continuity. Rules for Evaluating Limits.

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Presentation transcript:

Economics 214 Lecture 5 Limits and Continuity

Rules for Evaluating Limits

Example 1 of Limit

Example 2 of Limit

Our previous function

Continuity

Figure 2.5 Functions That Are Not Continuous

Our function that was not continuous

Our noncontinuous function

Vertical asymptote A vertical asymptote of a function occurs at a point when either a left-hand limit or a right- hand limit approaches positive infinity or negative infinity at that point. A function is discontinuous at a point where there is a vertical asymptote.