Example of Functions where Limits does not exist

[shihyonseo]

This was very helpful, thanks! Also your voice is really relaxing.

[John-gkgs]

For example a, I was unsure how to explain how there is no limit, since you cannot say the left and right hand limits differ due to the fact that infinity and negative infinity are not limits. Since it is a vertical asymptote, it approaches an undefined value, which you explained perfectly. Thank you.

[jamesa.]

Thanks I love your voice, it is very soothing.

[jonykhan]

Good work! why we say a function is undefined? A function is not a function if its all domain members are not uniquely mapped. It means a function is not a function if it is undefined because undefined my one of its domain members is undefined.

[aniruddhbhattacharya]

Hello Anil Sir, can you explain some functions for which limit exists when x tends to a but the function is not defined at point a, limit exists when x tends to a but not equal to f(a)? That will be very helpful.
Thanks in advance

[somebodyonce]

so as long as it has a denominator of zero, it is considered as DNE? how about when it is an imaginary number such as i or 3i, is it not considered as DNE?

[svnspell]

If a function is undefined at a point is it necessary that the limit will always not exist at that point?

[Editer]

Can you please solve this question:
Show that limit of function exist:
Y = (3^n + (-3)^n)/ 4^n

[Mitchegun]

For the first example, the limit does not fail to exist. Substitution does not work for that value true but the idea of a limit is to approach a value so even if it is undefined for the value x tends to. That does not mean that the limit does not exist

[rethijja]

I love you hope you all the best in your life

[m.maneeshkumar]

Hi Sir, Why we're not applying L' hospital's rule in the third question ?

[zahiddrk]

i am sorry sir but you should have mentioned that you used 0 for the value of x on number d. i got confused as the limit was 1 but i was getting 0 as answer.

[akshunyabajpai]

Sir thoda fast bola kriye. 2X me bhi slow lg rha h

[skuller]

How did he get( x>=3) in question (b)?

[admiremutero]

Shouldn't we use L'Hosipitals on a????

[andrewgonzales]

Why is Mean Girls the first video that comes up when you search for this?

[riyadghabashi]

What about when applying limit rules (sum, subtract ...) for limits that don't exist? (what are special cases that despite the limit for each separate function DNE when operating on them together the limit will exist? )

[george]

For the second example, f(x) = sqrt(x-3), most CAS's returns 0, why is that?

[injhs]

I hope you are my teacher. My other teacher is a same indian as you but her accent is terrible that I can literally learn nothing

[geoquerry]

To date, I'm still looking for this pen. Anyone please send me a link to name 🙏