Learn how to evaluate a limit at infinity
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- čas přidán 4. 09. 2016
- 👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the graph. Most of the examples we will look at will include rational functions. When looking at where the graph is going right or left we need to identify the horizontal asymptotes. We will also take a look at rational functions with roots where we will need to look at more closely at how the root behaves with the graph.
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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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I’m a senior now and I feel like I may as well ship you my diploma, been loving these videos for the past few years🙏🙏
same here!
How's college
How’s college been
you made this problem so easy and simple. Bless you!
happy to help
Just started my first year at uni and calculus has NOT been kind to me thus far, but this video has helped a ton!!! You’ve explained infinite limits so succinctly and clearly, it’s really making my life a lot easier. Thank you :)
That was me last year but with hardwork I managed and you can too 🙏🏿
Man, this is my upcoming lesson. I'm not sure what to feel about this. It doesn't look THAT terrible though
yea Im a sophomore in high school and I'm taking calculus. Im freaking out. Any tips?
this video was a more effective tool for my course than my modules that was worth a month of lessons🙆♂️🙆♂️
Thanks for helping us 🙇🙇
The reason why i hate maths is b/c all terrible problems finaly become 0 or 1...that's it😂
oh my lord Brian ur a real one. Man got me through percale and now he is getting me through calc.
had no idea dividing a number by a powered variable equals 0 :l college calculus sucks. Thanks for the explanation Mr. McLogan
I love the way this guy explains it!
Hod bless you. I’ve been following for three years and you been my savior every time. Flawless and short execution while being simple to understand. I’m TRULY grateful
hey i understand the procedure, but why do we divide by highest power first? wouldn't we be accomplishing the same thing if you just said the denominator as a whole was infinity?
Waitt why do the variables raised to a power get evaluated to 0 automatically?
SIR I NEVER COMMENT BUT I JUST WANT YOU TO KNOW THAT IM CURRENTLY IN WEEK4 OF CALC AND WE'RE LEARNING THIS AND IVE SEEN SO MANY OF YOUR LIMIY INFINITY VALUES AND I JUST WANT YOU TO KNOW ITS SO HELPFUL IF I PASS THIS EXAM ITS BECAUSE OF YOU IF I DIDN'T FIND THIS VIDEO I WOULD NOT EVEN BE ABLE TO COMPLETE MY HOMEWORK THANK YOU
Thank you for explaining this short and sample.
Once again, You just saved my life.
Thank you, this a actually easy to understand
love your videos, keep it up!
thanks teacher, that is a nice exercice
BRO TEACHES BETTER THAN MY TEACHER TY I UNDERSTAND THIS
would plus or minus infinity have an effect on the answer? please help
This video was a lifesaver right before my exam. I miss this lecture and I still got it
brian u a real one
It can be solved using leading coefficient. Will be 5/7x^2 then replace x with minus infinity then goes to zero.
Thanks!
This really helped me alot in my assignment
Brilliant teacher
God bless you
Does this work with positive infinity?
thank you, thank you, thank you!!! you might actually make me pass calc! you explain everything SO simply
Happy to help! you got this 💪
im a grade 8 student but lately ive been really enjoying maths for some reason, its currently 2 am and ive just been binging these videos
Thanks bro I got it easily after you taught that ...problem......ossom
happy to be able to help you out Joseph!
Brian McLogan thanks
Wow , tysm🙏
So what's the different between + and - infinity in this steps?
i think it's just means if it's negative infinity you're going to the left of the graph and if it's positive infinity you're going to the right of the graph.
*from
Is it the same solution for x->∞ ?
What is that thing on the right ?
You are an incredible teacher.
Cheers!
where was this guy a week ago when I took this test
On CZcams, glad you found me now
one question? how will this inormation help a business major student ?
liked commented and smashed the noti bell 🔥🔥🔥
HOW DOES HE MAKE IT ALL SO SIMPLE
Yessssssssss Sir 💪💪💪💯💫
1 min was enough to understand rather than 1 hour in class
why is x^3 when use x^2
I love you so much, you have no idea
saved my calculus test lol thank you
God bles you
what about pos infinity ?
Honestly, if i ever graduate college, am flying you over and buying you lunch 😩🙏 I watched your videos and they explained everything i needed to prepare for my exams, i passed this semester with a 84/100
A bit low, but that was my fault..i would have done EXTREMELY HORRIBLY worse if it wasnt for you
I wish I could just copy-paste your know to my brain so it can easily process math questions
There is a rule made up of 3 my doctor gave us which is:
1- If the numerator's highest power is smaller than the denominator's highest power the answer will always be zero. (just like the question in this video)
2- If the numerator's highest power is greater than the denominator's highest power the answer is either +infinite or -infinte(there is more steps to find which infinte it is.)
3. If the numerator's highest power is equal to the denominator's highest power the answer is the coefficient value of the highest power variable in the numerators over the coefficient value of the highest power variable in the denominator.
(ex: 5x^2/7x^2 = 5/7)
This looks longer than what I had in my head lol.
Great! This helped me, thank you for posting!
@@RushilJain-si2hx Your welcome bro, and GL!
I got my repeat exam in literally 9 minutes cus I failed my first one n this literally saving me LOOL
WOOOOOOOOW!!!
you are my angel
You can also just know that if the power is higher in the denominator it will go to zero!
Correct!
man simplified 50 mins of class to 1 minute and 39 seconds
Why did 5/x² becames zero? 🙂 Will you elaborate or explain it please
LITERALLY also i couldnt figure out what he said "any number divided by a variable ___________" what did he say?? anyways im also confused on that
@@istheresomewhere "any number divided by a variable to raise a constant"
@@shawnhenk4700 thank you !!
goat
Why do we divide by the highest power
And why did they become 0 that bit was quite fast
i have a test in 30 minutes and i forgot how to do limits lmao
You got this, best of luck
"any number divided by a variable to reach the console is zero" I didn't get this point
Ok so when x approaches +-infinity any number divided by x will result in a number so small it won't interfere in the equation that's why we can consider it as 0
I cant hear a thing
sorry mic cut out
I was keeping up with you just fine until the last step when you mumbled something about “it goes to 0” and I needed to understand how. I’m sure it’s simple but you lost me there. I THINK what you’re doing is plugging infinity into the variables (such as x^2) and that is understood to go to 0? But I wish you hadn’t glossed over that part because now I need to go find another CZcams video that doesn’t skip over that explains it. But good video up to that last part! :)
Apologies but that is exactly correct. Whenever the denominator grows faster than the numerator the function will
Approach zero as x approaches infinity
God really created heaven for a reason.
can someone explain 1:10
Limit of 1/X as X tends to 0 is 0
Muahhhhhhhh😘😘