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2.2.3 Use a graph to estimate the limit of a function or to identify when the limit does not exist. 2.2.4 Define one-sided limits and provide examples. 2.2.5 Explain the relationship between one-sided and two-sided limits. 2.2.6 Using correct notation, describe an infinite limit. 2.2.7 Define a vertical asymptote.
- Chapter 2
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- 2.3 The Limit Laws
In Example 2.22 we look at one-sided limits of a...
- Chapter 2
In Example 2.22 we look at one-sided limits of a piecewise-defined function and use these limits to draw a conclusion about a two-sided limit of the same function.
The idea of a limit is central to all of calculus. We begin this chapter by examining why limits are so important. Then, we go on to describe how to find the limit of a function at a given point. Not …
17 Αυγ 2024 · Use the limit laws to evaluate the limit of a polynomial or rational function. Evaluate the limit of a function by factoring or by using conjugates. Evaluate the limit of a function by using the squeeze theorem. In the previous section, we evaluated limits by looking at graphs or by constructing a table of values.
Introduction. 3.1Defining the Derivative. 3.2The Derivative as a Function. 3.3Differentiation Rules.
Find all critical points of f(x) in [a; b]. Evaluate f(x) at all points found in Step 1. Evaluate f(a) and f(b). Identify the absolute maximum (largest function value) and the absolute minimum (smallest function value) from the evaluations in Steps 2 & 3.
Definition. Let [latex]f (x) [/latex] be a function defined at all values in an open interval containing [latex]a [/latex], with the possible exception of [latex]a [/latex] itself, and let [latex]L [/latex] be a real number.
