Solving Limits Mentally

[@curiousminds7950]

F(X)>g(X)=infinite
F(X)

[@SerBee_29]

Yeah 😊

[@Abcd-cf8sk]

Basically in this method we say that infinity to any higher power is so big that infinity to any lower power is negligible in comparison so we only keep the terms containing the highest power but ignore everything else as comparatively it will be very negligible

[@bibibinafnaf1638]

I dont get this concepts

[@mrlychee38]

@@bibibinafnaf1638 i think it only works when the limit approaches infinity

[@Inspirator_AG112]

You can also think of it as omitting the non-leading terms.

[@DAMN__________]

That ending nearly gave me a heart attack

[@that_g_u_y_]

LMFAO

[@kat04]

jumpscare

[@Zernovz]

Jumpscare outro 😂

[@SerBee_29]

I'm sorry for that 😁

[@weebarea347]

​@@SerBee_29 but it's so cool 😭💗 you're so cool

[@loafie_bread]

I have NEVER had someone explain this to me so simply. You, sir, are a legend and a hero.

[@SerBee_29]

Thanks ☺️❤️

[@developeroppa]

I remember limit being much much much more difficult than this, thank you for this.

[@SerBee_29]

Thanks❤️

[@reddolphin2155]

Most limits are not this easy 😂 Those are limits where x approaches infinity, they are the easiest

[@charliemuskrat]

Bro this is wild. I wish my professor didn’t make us show work

[@kman41000]

Simplified this for me thanks!

[@SerBee_29]

Thanks 😊

[@dgolazotv]

You are exceptional, thanks a million 🙏

[@SerBee_29]

Welcome ☺️

[@fredsmith6324]

thanks! clear and concise!

[@SerBee_29]

Thanks ☺️❤️

[@user-qy3lm3qx3y]

This is fantastic

[@SerBee_29]

@@user-qy3lm3qx3y thank you ☺️

[@usmanbappah2707]

I learn something very important today

[@SerBee_29]

Wow. Grateful for this😊

[@Dont_look_at_mypicture]

Brother love and respect from India ❤

[@SerBee_29]

😊❤️

[@leosparton622]

U just helped me pass exams thanks

[@SerBee_29]

Wow. Nice ❤️

[@posatok273]

teaching more than my calculus teacher

[@shawnguerra2047]

Great explanation

[@SerBee_29]

Thank you ☺️

[@roy.vinitkumar]

Thanks a lot . It is best trick I think 🤔 ❤❤❤❤

[@SerBee_29]

You're welcome.

[@user-nv5rg1xo7g]

Thank you very very much 👏👏

[@Jackie-gd9bk]

Hi , your a good #teacher, I #wish #I’d had you in my #classroom

[@SerBee_29]

Thanks ☺️❤️

[@ramuroyals4487]

Thanks for giving shortcut i was trying to solve methodologically

[@SerBee_29]

You're welcome ☺️

[@nightmareff5258]

Thanks ❤

[@SerBee_29]

❤️😊

[@edenworku1172]

Good.🙏❤

[@SerBee_29]

Thanks ❤️

[@f.r.y5857]

If the highest order of the denominator is same with numerator, you only need to divide the coefficient of the highest order (coef. numerator/coef. denominaror)

[@SerBee_29]

Yeah

[@luqmanchannel9882]

amazing video

[@SerBee_29]

Thanks 😊

[@maxamedsomali4937]

Thanks because you are very shorted and explained us the way very easy

[@SerBee_29]

Thanks for the compliment 😊

[@alwaywithtech7560]

​@@SerBee_29 sir you Know My teacher also teaches me this today . I am a class 12 th student from India . In which class you are studying this ?

[@SerBee_29]

​@@alwaywithtech7560thanks. I am from the Philippines. I am teaching Calculus in the tertiary level.

[@odehjoshua1981]

This is really cool

[@SerBee_29]

Thanks ☺️

[@esmamkhanbabu7745]

genius 👍

[@Bingo-ig4qt]

ans1 ♾️
ans2 0
and3 non zero finite

[@HafsatAbdullahi-d4e]

Can you please show me how to answer Limit in exam in a more simple way 🙏

[@sanatandharma48]

Do these tricks work for all questions have limit x->∞ ?

[@kiyoshi3002]

From what I remember, this rule only applies if you’re dealing with fractions. I’m having to review this for series and sequences in Calc 2, but I promise it’s not that bad despite what others will say!

[@thiccbeardthegreat9184]

MENTALLY DEFINITELY 🎉🎉

[@GodchildEje]

❤ thanks dear

[@SerBee_29]

Welcome ❤️

[@RabiaAsif-xx6nf]

much easier way to get the answer gl bro

[@ariah5093]

sure

[@prithvisinghpanwar6609]

yourrrrr decrrreeee is nice

[@SerBee_29]

Thanks 😊

[@atharvavirkud3722]

But this is only possible when the limit x tends to infinity.

[@karelissomoved1505]

otherwise it would be easier, but in that case it will almost always be a zero division. At least in school

[@maryamalomar8296]

Yes

[@groovygames4313]

he is 'sneakily' using LHopital's rule here, which is only for 0/0 and inf/inf form. depending on functions, there may be some limits that get 0/0 or inf/inf by approaching a constant too

[@DatBoi_TheGudBIAS]

U can do the same to -inf, doing a substitution. Or even with 0, if u wanna use negative coeficients

[@whoreslayer]

the is very similar to horizontal asymptotes

[@ChronosChannel28]

Finally

[@nanorobot]

Just took x ( or x 's higher power) common from both numerator and denominator.
After that common x 's will be cancelled, after that put the limit directly.
Simple 💁🏻‍♂️

[@SerBee_29]

Yeah

[@windthugness]

Good explanation ,
Also, when does it equal negative infinity?

[@iDontProgramInCpp]

When the difference between dominant exponents is odd, and X approaches negative infinity. If said difference is positive, the limit is always positive infinity, regardless of which infinity X approaches.

[@user-bm6pi1ij9e]

Salamat💞

[@SerBee_29]

Thanks ☺️❤️

[@melanieDD]

Wow!

[@SerBee_29]

Thanks 😊

[@Danieltampo]

hello! your native language is english? greetings from Colombia ❤

[@SerBee_29]

@@Danieltampo Nope. I am Filipino. Thanks for the comment. Hello Columbia ❤️

[@AriyoSadiq]

Wow

[@ivankylenayre8610]

Wow I just learned it for about 15s.

[@SerBee_29]

Thanks 😊

[@KheirollahAhmadi]

عالی

[@medicisounds1384]

So we use the Horizontal Asymptote rules for limits too 😅😅😅

[@mk_peter]

Genius

[@JoelKingdomGodfrey]

Ok i got it

[@divyagupta6854]

I just hope there is no step marking in exams for this

[@mathtutor7959]

Nice man thanks

[@SerBee_29]

You're welcome. Thanks.

[@Coco20480]

But when we have the same coefficients up and down...we just divide their coefficients ❤

[@kariken1775]

Infinity, 0 and 4

[@dalwidaocristalmayt.7411]

Hahahahha gagiks nagulat si me

[@SerBee_29]

Haha 😅

[@chantellenichols8512]

You are a GOD

[@thomashenderson6995]

The slim Jim method!

[@victorrex510]

damn bro,wtf, how did all my teachers not tell me something so simple 😭💔
thanks man 🙏

[@SerBee_29]

You're very welcome 😊

[@WielkiKaleson]

It is soooo obvious... They grilled us with the squeeze theorem, so I stopped paying attention at all, even when fancy limits started and got my worst grade at maths ever. 😊

[@embalsadodomingojrm.2782]

Sir more videos pa po 🫡

[@cliffordabrahamonyedikachi8175]

infinity
2

[@bibibinafnaf1638]

Thank uu, i really got this but before i was a little bit confused

[@gosuhenke]

❤🙂

[@blakesnyder9781]

do the same rules apply when x approaches -infinity?

[@SerBee_29]

Yeah

[@thomashenderson6995]

The slim Jim method

[@Coco20480]

So if the numerators power is more than the denominator it's infinite. ....but if the denominator's power is greater....then its =0

[@SerBee_29]

Yeah

[@user-wy2jb5tg7g]

Sir plz upload more video of the shot trick

[@nathanieln3513]

does it only work if x approaches to infinity or does that mean any number?

[@SerBee_29]

If x approaches to infinity only

[@fortunatasoriano]

How about kung may sign?

[@genznation4530]

When do i get negative infinity

[@user-im8yw2bn1k]

Limit of a function makes me like the topic"calculus" but you almost put me in difficulty here😔😔

[@ravenwolfe9006]

💙

[@None-kh5is]

As an Indian I confirm we can solve such ques while sleeping

[@SerBee_29]

Wow, nice. We Filipinos can't do that.

[@SamarthPatil-my5mh]

Solved all three que in 5 seconds

[@smedy9738]

Where did you get the 4?

[@SerBee_29]

Coefficient of the leading term

[@SaiManognyaDesetty-bs3gp]

Is this possible only when x tends to infinity?

[@peaceofmind6141]

This is good for multiple choice FE exams tho

[@SerBee_29]

Yeah, very effective ❤️

[@3agoor]

When is it - infinite then?

[@user-mz7hl4kl2y]

Please can we solve like this only when lim x is at infinity

[@cuomostan]

limits are so easy

[@juliancain5470]

Thats for horizontal asymptotes tho

[@jane-veronicaizuka6750]

when does ot give negative infinity

[@atharvavirkud3722]

When there is negative sign

[@groovygames4313]

this is just LHopitals here. when we keep applying LH rule, the highest power will remain, hence putting the limit as per LH rule.

[@teamstromicalplayz6689]

4÷ 2 is 8

[@user-ok6wz4hd5c]

Sir in number 1, wat if x is equal to -3?

[@orisinpro5820]

It won’t be because x is approaching infinity, x will be a large value, but say x was approaching 3 with this same function. Then the limit would not exist because as it approaches from the left y goes to negative infinity, and from the right it goes to positive infinity.

[@theycallme_optimist]

💀❤️

[@keerthan_sri5758]

What happens when u use l hospitals rule ?

[@diegomorales6414]

is this only when x ~> ♾️ ?

[@SerBee_29]

Yeah

[@mustafaozaltun9182]

○○/○○=undefined ?

[@DerejeGadisa-m3y]

Bes on continues

[@user-pi8du2um4i]

How about with square root?

[@beverlymillor9975]

is this for real? what my teacher taught me has many solutions

[@SerBee_29]

Yeah of course

[@sneha10010]

Can you explain us
Why the limit of first problem is infinity ♾️ ?

[@teamstromicalplayz6689]

It's not wrong we 4 - 2 : is 2

[@cajun2106]

this looks alot like asymptotes :000

[@loveatthe13thsight24]

I wish u posted this a year ago

[@edra2005]

Show us the graphs

[@gg45317]

wtf I was literally about to look for a video on this and this popped up my in my feed

[@Yvngmarri]

how bout when its negative infinity

[@omairgandamra1988]

do the same rule when x approaches to -0?

[@aradhyagautam2795]

nope

[@aradhyagautam2795]

rationalise it

[@iDontProgramInCpp]

No, try to calculate it. If you end up with the indeterminate forms 0/0 or inf/inf, use l'Hopital's rule, if you've learned it.

[@Abcd-cf8sk]

Basically in this method we say that infinity to any higher power is so big that infinity to any lower power is negligible in comparison so we only keep the terms containing the highest power but ignore everything else as comparatively it will be very negligible however with 0 this is not true

[@ambasing_omaygot]

mental L'Hopital's rule

[@OwaisShaikh-tp7pi]

Why?! Isn't it workable??

[@tridentproductions9234]

L’ hopital

[@Gamerdude497]

Is this legal