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AP Calculus Name___ Lesson 22: Limits Involving Infinitude ___Learning Goals: I can find and verify end behavior models for various functions. I can calculate limits as and identify vertical and horizontal
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How to fill out precalculus limits and continuity

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How to fill out precalculus limits and continuity

01
Understand the concept of limits, which is essentially the value that a function approaches as the input values get closer to a certain point.
02
To fill out precalculus limits, first identify the function and the point at which you are trying to find the limit.
03
Use algebraic manipulation and limit laws to simplify the expression and evaluate the limit.
04
If direct substitution does not work, try factoring, rationalizing the denominator, or using special trigonometric limits if applicable.
05
Remember to check for any holes or vertical asymptotes in the graph that may affect the limit value.
06
For continuity, check if the function is defined at the point in question and if the limit from both sides match the function value.

Who needs precalculus limits and continuity?

01
Students studying precalculus or calculus courses will need to understand limits and continuity as they are fundamental concepts in calculus.
02
Engineers, physicists, mathematicians, and other professionals who use calculus in their work will also need a solid understanding of limits and continuity.

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Precalculus limits and continuity are mathematical concepts that focus on the behavior of functions as they approach specific points or values. Limits help to understand the nearing values of a function, while continuity indicates whether a function is uninterrupted at a point.
Typically, students or individuals involved in advanced mathematics courses are required to study and understand precalculus limits and continuity, as they form a foundation for calculus.
Filling out precalculus limits and continuity typically involves solving problems related to finding limits, assessing continuity at specific points, and analyzing functions through graphical or analytical methods.
The purpose of precalculus limits and continuity is to prepare students for calculus by providing the necessary skills to analyze and understand the behavior of functions, which is essential for higher-level mathematics.
Information that must be reported includes the limits of functions at specific points, conditions for continuity, and any relevant graphical representations that demonstrate the behavior of the function.
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