Learn how to find and classify the discontinuity of the function

👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuous if there is a gap in the graph of the function. Some discontinuities are removable while others are non-removable. There is also jump discontinuity.
A discontinuity is removable when the denominator can be factored such that the factor that makes the function discontinuous can be cancelled out with its common factor in the numerator. Otherwise the discontinuity is not removable.
A discontinuity is said to be a jump discontinuity when the function approaches a certain point both from the left and from the right but the function is not defined at that point.

Timestamps:
0:00 Intro
0:13 Start of Problem

Corrections:
1:50 It is x cannot equal positive 1/2

Organized Videos:
✅The Limit
✅Evaluate Limits of Complex Fractions
✅Evaluate Limits of Polynomials
✅Evaluate Limits of Rational Expressions
✅Evaluate Limits with Square Roots
✅Evaluate Limits with Trig
✅Limits of Piecewise Functions
✅Evaluate Limits with Transcendentals
✅Evaluate Limits Difference Quotient
✅Evaluate Limits from a Graph
✅Evaluate Limits of Absolute Value
✅Evaluate Limits of Square Root
✅Holes and Asymptotes of Rational Functions
✅Learn about Limits
✅Find the Value that makes the Function Continuous
✅Is the Functions Continuous or Not?
✅Evaluate Limits using a Table of Values
✅Evaluate Limits at Infinity

Connect with me:

[bevzbevz]

The icon bar is just a bit annoying at the end, when the video ends, I can't see the answer whilst using IOS. but I salute you, you are good at explaining. thank you very much anyway.

[jim]

I've been looking for this explanation. Thank you very much sir!! ❤️

[sarathchandrad]

How is it negative 1/2? Shouldn't it be x cannot equal positive 1/2?

[agnessantiago]

Hello sir, why did your -2 remain negative while the 1/2 turned negative

[calebdizon]

Brian comming in clutch for AP Calc AB

[tasneemahmed]

It's would be so much easier to get the discontinuity by just using mode 5 then 3 in the calculator. Our teacher taught us that method. Trust me, it saves a whole lot a time.

[rhoroenaohwo]

think you made a mistake with the +3x- 2... It's meant to be -3x+2

[Keyurbhuta]

explanation was good but this was the easiest problem

[diamond]

So it is basically the Vertical Asymptote

[randomyoutubevideos]

Would this be jump, infinite or removable?

[deleted-ohqo]

That's not a discontinuity it is a VERTICAL ASYMPTOTE!!!!