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- https://stats.libretexts.org/Under_Construction/Purgatory/DS_21%3A_Finite_Mathematics/08%3A_Limits_and_Derivative/8.01%3A_Limits_and_ContinuityIn the last section, we saw that as the interval over which we calculated got smaller, the secant slopes approached the tangent slope. The limit gives us better language with which to discuss the idea...In the last section, we saw that as the interval over which we calculated got smaller, the secant slopes approached the tangent slope. The limit gives us better language with which to discuss the idea of “approaches.” The limit of a function describes the behavior of the function when the variable is near, but does not equal, a specified number.
- https://stats.libretexts.org/Courses/Lake_Tahoe_Community_College/Interactive_Calculus_Q1/02%3A_Limits/2.02%3A_A_Preview_of_CalculusAs we embark on our study of calculus, we shall see how its development arose from common solutions to practical problems in areas such as engineering physics—like the space travel problem posed in th...As we embark on our study of calculus, we shall see how its development arose from common solutions to practical problems in areas such as engineering physics—like the space travel problem posed in the chapter opener. Two key problems led to the initial formulation of calculus: (1) the tangent problem, or how to determine the slope of a line tangent to a curve at a point; and (2) the area problem, or how to determine the area under a curve.
- https://stats.libretexts.org/Under_Construction/Purgatory/DS_21%3A_Finite_Mathematics/08%3A_Limits_and_DerivativeIn the last section, we saw that as the interval over which we calculated got smaller, the secant slopes approached the tangent slope. The limit gives us better language with which to discuss the idea...In the last section, we saw that as the interval over which we calculated got smaller, the secant slopes approached the tangent slope. The limit gives us better language with which to discuss the idea of “approaches.” The limit of a function describes the behavior of the function when the variable is near, but does not equal, a specified number.
