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- https://math.libretexts.org/Bookshelves/Calculus/Calculus_(Guichard)/02%3A_Instantaneous_Rate_of_Change-_The_Derivative/2.03%3A_LimitsIn the previous two sections we computed some quantities of interest (slope, velocity) by seeing that some expression "goes to'' or "approaches'' or "gets really close to'' a particular value. In the ...In the previous two sections we computed some quantities of interest (slope, velocity) by seeing that some expression "goes to'' or "approaches'' or "gets really close to'' a particular value. In the examples we saw, this idea may have been clear enough, but it is too fuzzy to rely on in more difficult circumstances. In this section we will see how to make the idea more precise.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_1e_(OpenStax)/12%3A_Introduction_to_Calculus/12.01%3A_Finding_Limits_-_Numerical_and_Graphical_ApproachesIn this section, we will examine numerical and graphical approaches to identifying limits.
- https://math.libretexts.org/Courses/Hartnell_College/MATH_25%3A_PreCalculus_(Abramson_OpenStax)/07%3A_Introduction_to_Calculus/7.02%3A_Finding_Limits_-_Numerical_and_Graphical_ApproachesIn this section, we will examine numerical and graphical approaches to identifying limits.
- https://math.libretexts.org/Courses/Coastline_College/Math_C170%3A_Precalculus_(Tran)/12%3A_Introduction_to_Calculus/12.02%3A_Finding_Limits_-_Numerical_and_Graphical_ApproachesIn this section, we will examine numerical and graphical approaches to identifying limits.
- https://math.libretexts.org/Bookshelves/Calculus/Calculus_3e_(Apex)/01%3A_Limits/1.03%3A_Finding_Limits_AnalyticallyRecognizing that ϵ-δ proofs are cumbersome, this section gives a series of theorems which allow us to find limits much more quickly and intuitively. One of the main results of this section states th...Recognizing that ϵ-δ proofs are cumbersome, this section gives a series of theorems which allow us to find limits much more quickly and intuitively. One of the main results of this section states that many functions that we use regularly behave in a very nice, predictable way. In the next section we give a name to this nice behavior; we label such functions as continuous. Defining that term will require us to look again at what a limit is and what causes limits to not exist.
- https://math.libretexts.org/Courses/Truckee_Meadows_Community_College/TMCC%3A_Precalculus_I_and_II/Under_Construction_test2_12%3A_Introduction_to_Calculus/Under_Construction_test2_12%3A_Introduction_to_Calculus_12.1%3A_Finding_Limits_-_Numerical_and_Graphical_ApproachesIn this section, we will examine numerical and graphical approaches to identifying limits.
- https://math.libretexts.org/Bookshelves/Calculus/Calculus_3e_(Apex)/01%3A_Limits/1.01%3A_An_Introduction_to_LimitsThe foundation of "the calculus'' is the limit. It is a tool to describe a particular behavior of a function. This chapter begins our study of the limit by approximating its value graphically and nume...The foundation of "the calculus'' is the limit. It is a tool to describe a particular behavior of a function. This chapter begins our study of the limit by approximating its value graphically and numerically. After a formal definition of the limit, properties are established that make "finding limits'' tractable. Once the limit is understood, then the problems of area and rates of change can be approached.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_2e_(OpenStax)/12%3A_Introduction_to_Calculus/12.02%3A_Finding_Limits_-_Numerical_and_Graphical_ApproachesIn this section, we will examine numerical and graphical approaches to identifying limits.
- https://math.libretexts.org/Courses/Queens_College/Preparing_for_Calculus_Bootcamp_(Gangaram)/07%3A_Day_7_(A_Preview_of_Differential_Calculus)/7.01%3A_Finding_Limits_-_Numerical_and_Graphical_ApproachesIn this section, we will examine numerical and graphical approaches to identifying limits.
- https://math.libretexts.org/Workbench/Book-_Precalculus_I_for_Highline_College_w/Rational_Inequalities_and_Equations_of_Circles/1.12%3A_Introduction_to_Calculus/1.12.02%3A_Finding_Limits_-_Numerical_and_Graphical_ApproachesIn this section, we will examine numerical and graphical approaches to identifying limits.
- https://math.libretexts.org/Workbench/Calculus_I%3A_Differential_Calculus/02%3A_Limits/2.02%3A_The_Limit_of_a_Function/2.2E%3A_Exercises_for_Section_2.2This page covers various mathematical limits, including those of functions and piecewise functions, through exercises that require constructing tables for approximation and evaluating left-hand and ri...This page covers various mathematical limits, including those of functions and piecewise functions, through exercises that require constructing tables for approximation and evaluating left-hand and right-hand limits. It highlights cases where limits do not exist, explores trigonometric limits, and examines graphical representations to estimate limits as variables approach specific points.
