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Section 2.2. Finding Limits Graphically & Numerically. What’s the point of Calculus?. What’s the point of Calculus?. What’s the point of Calculus?. What’s the point of Calculus?. The Concept of a “Limit”. Example 1. Use a table of values to estimate the limit. Confirm graphically.
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Section 2.2 Finding Limits Graphically & Numerically
Example 1 Use a table of values to estimate the limit. Confirm graphically.
Example 2 (#18-26 even in your book)
Example 2 (cont.) (#18-26 even in your book)
Example 2 (cont.) (#18-26 even in your book)
Example 3 (#28 in your book)
Example 4 (#30 in your book) Use the graph of to identify the values of for which exists.
Example 5 Sketch a graph of a function with the given properties. DNE
Section 2.3 Evaluating Limits Analytically
Example 1 Find .
Example 2 Find .
Example 3 Find .
Example 4 Find .
Other Theorems Involving Limits • Theorem 2.6 deals with finding the limits of trigonometric, exponential, and logarithmic functions. • Theorem 2.7 talks about fnc.’s that agree at all but one point. • Theorem 2.8 is the Squeeze Theorem.
Example 5 Find .
Example 5 Find given .