In this video, we discuss the formal definition of the limit of a function as x approaches a finite number c. Intuitively, we say that the limit of f as x approaches c is L if, as x gets arbitrarily close to c, y=f(x) gets arbitrarily close to L. The epsilon-delta definition allows us to rigorously define what we mean by arbitrarily close.
We look at a graph on Desmos.com to help us to understand the definition in a particular example. Then we use pencil and paper to prove that the limit of sqrt(x) as x approaches 4 is 2 using the formal definition. The link to our graph on Desmos.com is found below.
www.desmos.com...
Негізгі бет 1.3 Epsilon-Delta Definition of a Limit - Analytic Geometry and Calculus I
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