Determine the discontinuity of the function

👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuos 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 discontinuos 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.
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✅The Limit
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✅Evaluate Limits of Complex Fractions
• Evaluate Limits of Com...
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• Evaluate Limits of Rat...
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✅Evaluate Limits with Trig
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✅Limits of Piecewise Functions
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✅Evaluate Limits with Transcendentals
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✅Evaluate Limits Difference Quotient
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✅Evaluate Limits from a Graph
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✅Evaluate Limits of Absolute Value
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✅Evaluate Limits of Square Root
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✅Holes and Asymptotes of Rational Functions
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✅Learn about Limits
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✅Find the Value that makes the Function Continuous
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✅Is the Functions Continuous or Not?
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✅Evaluate Limits using a Table of Values
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bro just thought the same

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[@L0ck1n]

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[@leopearce649]

Love these videos, straight to the point of what im wanting to know

[@airborne2876]

Man is better at getting to the meat and potatoes of a subject than my college classes.

[@user-mp1jc5vh9r]

Here comes the hero without the cape
You saved the day

[@Al-Tucsoni]

superman got nothing on him

[@jodyanneubalde9043]

Hi sir, what would i do if i am ask to find the value of x for which the function is discontinous.. for example 3x/x-5, do i have to find its limit? Then graph?

[@mlninja3283]

what if the function is not a fraction how do you find the value of x?

[@XOFlaming]

Informative -!-

[@brianmclogan]

Happy to help

[@shayaana982]

Hey, If I have an equation in which two different factors are cancelled out when factored, how do I know which one to use for the x value of my POD? Are there two PODs?

[@zanderdalrymple5057]

Yes, there would be 2 then

[@Carpe_Diem_641]

Iam confused.Is this function discontinuous at x = -2?

[@jmeib]

no it's +2. because if you use x = 2 the denominator would equal zero. and that's not allowed

[@Aurora-pp3cs]

I am confused. Wouldn’t there be an asymptote at x=2? Instead of hole?

[@dozen2245]

Yeah me to like if x≠2 it should be an asymptope

[@fredmirimo8195]

There will be no an asymptote at point x=2 because it is a removable discontinuity instead we will have an asymptote when we come to essential discontinuity

[@kifter4254]

When the top and bottom cancel out like that, theres a hole. In this case, a hole at x =2

[@elizabethgagarin6443]

Razia Sultana Shushanta an asymptote is an indicator of discontinuity

[@onatyarclar3938]

after canceling out, if there was still a value that makes denominator zero, that would be our vertical asymptote :)

[@sneedle252]

How is this not simply the continuous function f(x) = x+2?

[@fostercleanlive7651]

i dont know

[@infinix2003]

you cannot cancel out (x-2) without applying limits

[@varun_4125]

I think we can

[@kcpayosalan9988]

We can cancel it😊

[@mruthulaniamirtharaj9256]

We can

[@monikamusa6644]

Teacher u write discontintous but u did continious

[@BayouboiiKi]

I’m here cause of NDT

[@nerm8275]

huh