How to find the left and right hand limit by not using a calculator

👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time.
The limit of a function is usually evaluated by direct substitution of the value which the variable tends to. When the function is a rational expression such that direct substitution leads to zero in the denominator, we find a way to either eliminate the denominator by multiplying both the numerator and the denominator by a common factor or decompose the denominator and the numerator into constituent parts so that like terms can cancel out.
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Organized Videos:
✅The Limit
• The Limit
✅Evaluate Limits of Complex Fractions
• Evaluate Limits of Com...
✅Evaluate Limits of Polynomials
• Evaluate Limits of Pol...
✅Evaluate Limits of Rational Expressions
• Evaluate Limits of Rat...
✅Evaluate Limits with Square Roots
• Evaluate Limits with S...
✅Evaluate Limits with Trig
• Evaluate Limits with Trig
✅Limits of Piecewise Functions
• Limits of Piecewise Fu...
✅Evaluate Limits with Transcendentals
• Evaluate Limits with T...
✅Evaluate Limits Difference Quotient
• Evaluate Limits Differ...
✅Evaluate Limits from a Graph
• Evaluate Limits from a...
✅Evaluate Limits of Absolute Value
• Evaluate Limits of Abs...
✅Evaluate Limits of Square Root
• Evaluate Limits of Squ...
✅Holes and Asymptotes of Rational Functions
• Holes and Asymptotes o...
✅Learn about Limits
• Learn about Limits
✅Find the Value that makes the Function Continuous
• Find the Value that ma...
✅Is the Functions Continuous or Not?
• Is the Functions Conti...
✅Evaluate Limits using a Table of Values
• Evaluate Limits using ...
✅Evaluate Limits at Infinity
• Evaluate Limits at Inf...
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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvi...

[@id_0m38]

It took my teacher an entire class to explain this, yet I understood it from you in 3 minutes.

[@rickbalderas4033]

my foreign cal professor just mumbles and solves problems on his own then assigns work

[@jzadams5818]

We probably had the same calc professor last semester.

[@OReily08080]

Rick Balderas my teacher just assigns

[@mmm.3839]

I learned this better in 3 minutes than I did in 2 hours in my class. He over explains it to a point where I get confused and you clarified it so simply

[@mariaordonez7524]

Why can't my teacher be as clear as you?

[@brianmclogan]

sorry for your troubles, but happy to be able to help you out!

[@neilshuffle]

In just 3 minutes i figured it about, thanks!

[@brianmclogan]

you are very welcome!

[@amyV10844]

I was stumped on this & watched many videos. In 3 minutes time, I finally "get" it! Thank you, I really appreciate your videos on YT😊

[@brianmclogan]

you are very welcome! happy to be able to help you out!

[@Smart17]

you've been a great help this year! I have my math final tomorrow and thanks to your videos Im gonna fail a little less

[@brianmclogan]

you are very welcome Stephanie! best of luck on your final

[@marvhartigan3677]

Hey Stephanie as you must have understood this by now since the comment was made 2 years ago, passing or failing does not matter, what matters is the zeal , passion and curiosity about the subject , wish you the best keep going strong sis.

[@siratjangra6533]

Thanks for the video! I didnt think it would be so easy to figure out

[@brianmclogan]

happy to help!

[@vitaminprotein1766]

This man looks like wwe wrestler Randy Orton... And sir u are an awesome teacher..

[@Mahi-kt7qs]

Thanks for the vid! What if the function's limit evaluates to a number instead of infinity? Do you have to test out multiple x-values to find what number it is approaching? And how can we tell its not going to be infinity?

[@TI-rz3ny]

You are the best and always come in clutch. You deserve to be a millionaire.

[@thanhtantruongvinh99]

i've been struggling with this from the beginning of the semester and you just cleared it out within 3 minutes. Thank you!

[@DrinkedTooMuch]

Thank you so much, I was stuck and couldn't find any explanation that I could understand

[@shakenfake]

Holy crap this is genius. Wish my teacher taught it this way...

[@haihaiiro]

Oh great! One sided limits are really confusing even with the theorems, this is the easiest way to understand it!!

[@eatagummybear9977]

Thank you so much! You explained so clearly in such little time!

[@alishaamerchant7199]

u r a math wizard! just saved my math grade

[@brianmclogan]

just a lot of practice, but happy to help

[@marcellinotirtapradja9210]

so for the problem in the video, there is no limit exist because the right and the left limit dont have the same value, right?

[@viewer7101]

Thank you so much!

[@keegisuvakas6847]

wow, thank you! we stragiht up had that never explained lol

[@Alcaline-hu2vu]

Bro just speedran my entire midterm

[@fnjcewg7587]

you are the god MAN. finally, I know how to do these questions

[@sumyamobder]

Im literally sitting here completly baffled at how EASY this actually is. My teacher confused me so much with overexplaining

[@Fijian_guy]

Thank you!♥️

[@ilovereadingwuxiaxianxiaat8994]

omg! Thanks so much! You're my saviour everytime I don't understand my teacher (which is like EVERY TIME LOL)

[@kairu9373]

Big Smoke: 2....
Brian McLogan: 2:17

[@zahrahmahimoud1426]

Hat off for you sir 👏

[@liad4909]

question, what if the problem wants you to find the right hand limit of a problem that ends up being 0/0, and not a nonzero/0. Can you still answer infinity or negative infinity, or do you simply some how?

[@brianmclogan]

Look at l'hopital's rule or the graph

[@inayatzebkhan]

Thank you

[@NagisaNiki]

Thank you!

[@brianmclogan]

😍

[@Kattiling]

But if we were given a more complex polynomial like (x^2+2x)/(x^2-4x+4), how would we solve this without a calculator.

[@brianmclogan]

Check the playlist at the end of the video I have multiple of examples

[@In10sed-ye4tm]

And here in India nobody even thinks of using a calculator ever

[@rhaniahassam3539]

So what's the answer?

[@arpi6054]

Wow this was sososososo helpful,,,thank you so much

[@aslayrey]

You definitely help me, thank you so much

[@irajfatima8479]

Sir plz tell me how 2.0001 close to 2 from right side

[@muslimwoolfy-winterequestr4344]

Because its slightly bigger than 2 and on the the number line numbers get larger as you go to the Right

[@muhammadalihassan]

Thanks

[@okami4076]

Thanks!!!

[@trayfor]

Thanks a lot, love all your videos

[@brianmclogan]

you are very welcome Daniel!

[@ayushpatel994]

thank you that helped

[@brianmclogan]

you are very welcome!

[@morriselyakim4805]

Why is it equal to infinity

[@davecamp9130]

You can calculate smaller and smaller differences as you get closer to 2 (take 1.99999999999999999 or 2.00000000000001 for example, and then even 1.999999999999999999999999999999 or 2.000000000000000000000001 as they as even closer to 2, and you can take an infinite number of 9 and 0 respectively if you wanted to without actually being at 2). If you were to do the calculations then the results will be going to + or - infinity as you get closer and closer to 2.

[@reallysmallant7174]

I actually love you

[@ronitdahiya7523]

I can't hear you

[@MinhDao-k4f]

Loves it ❤

[@kimberlynicolemagsino2419]

this is cool!

[@z2pt]

That's too easy 😮😮😮😅

[@wshyarjabbar3964]

i love you baldie

[@roya3636]

THANK YOUUUU

[@brianmclogan]

you are very welcome!

[@giannanguyen4480]

you are a savior ahaha thank you

[@amrutayyala]

does anyone wonder if his class is empty and it's snack right now and he's just making these videos for fun because he's lonely

[@brianmclogan]

Haha I do make videos in the summer with an empty classroom, nerd I know

[@amrutayyala]

@@brianmclogan hahahaha always hard at work

[@brianmclogan]

always

[@trapulizer]

Goat

[@mahama.4011]

i love u god bless u thank u

[@MrMike-qb2vh]

the goat

[@johnnguyen5352]

o

[@muhibkhan22]

IDK why you put 1.99 there, you can find out that either the numerator and denominator is positive or negative by putting 2 instead of putting 1.99.

[@brianmclogan]

bc 2 is undefined for the function

[@zmoney0314]

Muhib Ur Rahman 2 is undefined. you have to choose a really close number approaching from both sides and plug it into the function to double check.

[@muhibkhan22]

ok! Thank you! :)

[@jensmalzer6344]

@@brianmclogan FUCK U

[@buddmcstudd6994]

this is so damn quite I can barely hear it.

[@whattheflate9269]

Thank you