Limits describe how a function behaves near a point, instead of at that point. This simple yet powerful idea is the basis of all of calculus.

Limits intro Estimating limits from graphs Estimating limits from tables Formal definition of limits (epsilon-delta) Properties of limits Limits by direct substitution Limits using algebraic …

Limits describe the behavior of a function as we approach a certain input value, regardless of the function's actual value there. Continuity requires that the behavior of a function around a point …

In this video, we explore the limit of (x²+x-6)/ (x-2) as x approaches 2. By factoring and simplifying the expression, we discover that the function is undefined at x = 2, but its limit from both sides …

This video focuses on finding the limit of composite functions, even when the limit of the internal function does not exist. It demonstrates how to use right-handed and left-handed limits to …

Limits intro VA.Math: MA.CF.2.a, MA.CF.2.e.iii, MA.CF.2.e.iv VA.Math.2023: MA.CF.2.a, MA.CF.2.e.iii, MA.CF.2.e.iv Google Classroom Microsoft Teams

The limit is referring to the line of the graph. If we think of the point as non-existent, we will realize that f (x)=1 as x approaches 0. The real value of f (0) is 0 as you mentioned, but if we look at …

A function f is continuous at a point x=c if we can draw its graph at that point without lifting our pencil. To define this rigorously, f is continuous at x=c if the two-sided limit of f (x) as x …

Limits are the most fundamental ingredient of calculus. Learn how they are defined, how they are found (even under extreme conditions!), and how they relate to continuous functions.

This video focuses on finding the limit of composite functions, specifically the limit as 'x' approaches 'a' of f (g (x)). It explains that this limit equals f (limit as 'x' approaches 'a' of g (x)) if …