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what is the point of limits in math. Limits describe how a function behaves near a point instead of at that point. F x x2 1 x 1 Since its denominator is zero when x 1 f 1 is undefined.
Numerical and graphical approaches are used to introduce to the concept of limits using examples. Let fx 2 x 2 and compute fx as x takes values closer to 1. Introduction to Limits in Calculus.
Let fx 2 x 2 and compute fx as x takes values closer to 1.
However its limit at x 1 exists and indicates that the function value approaches 2 there. Similarly to find the instantaneous velocity at time a we let the t-values approach a in the average velocity. This process of letting x or t approach a in an expression is called taking a limit. Questions and Answers on Limits in Calculus.