Limits with Cube Roots | Evaluating limits invovling Cube Roots without l'Hopitals | Calculus

In this video we will learn how we can find limits of functions invovling Cube Roots. To find these limits you need to know the difference of cubes identity.
In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
Formal definitions, first devised in the early 19th century, are given below. Informally, a function f assigns an output f(x) to every input x. We say that the function has a limit L at an input p, if f(x) gets closer and closer to L as x moves closer and closer to p. More specifically, when f is applied to any input sufficiently close to p, the output value is forced arbitrarily close to L. On the other hand, if some inputs very close to p are taken to outputs that stay a fixed distance apart, then we say the limit does not exist.
The notion of a limit has many applications in modern calculus. In particular, the many definitions of continuity employ the concept of limit: roughly, a function is continuous if all of its limits agree with the values of the function. The concept of limit also appears in the definition of the derivative: in the calculus of one variable, this is the limiting value of the slope of secant lines to the graph of a function.

[@minjugatto6950]

Thanks for this video! I've been struggling with this problem since last week since my teacher seems to overcomplicate the lecture, but you made it sound so simple! I wish you put out more videos like this, it's a great help ^^ (love the accent btw)

[@Namo2006_1]

Nice video it's easily to understandable

[@ClarkGallendez]

Please don't talk like that. You seems like your are running out of breath, it just feels uncomfortable.