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❤︎² Find a Limit Algebraically.. How? (mathbff)
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- Опубліковано 22 лис 2020
- There isn’t any one algebraic method that will works for finding every limit. Here are the different methods:
1) Direct Substitution (0:22)
When trying to evaluate a limit algebraically your “go to" method should be direct substitution. If direct substitution works, simply plug in the value that x is approaching, and evaluate the function.
2) What about if I get 0/0? (1:25)
If you try direct substitution and get 0/0 (the indeterminate form), you should try to simplify the function and then try direct substitution again.
3) Factor to Simplify (2:17)
If you see higher powered polynomials in the function, you should try a form of factoring to simplify the function. Whether it is a difference of squares or cubes, a perfect square trinomial, a trinomial with or, or even a grouping situation, factoring will usually get you to the result. Once you’ve simplified by factoring, try direct substitution again.
4) Use a Conjugate to Simplify (4:28)
If you see a root in the function, you should try multiplying by the conjugate of the root to simplify the function. Once the function is simplified, try direct substitution again.
5) Use Expansion of Polynomials to Simplify (7:09)
If you tried factoring and weren’t able to simplify, you can try expanding any polynomials which are raised to a power, then check for anything that cancels out. Once you’ve simplified by canceling out terms, try direct substitution again.
6) Simplify With a Common Denominator (8:38)
If you have a complex fraction, you can try using a common denominator to simplify the fractions. Once you’ve simplified the fractions, try direct substitution again.
I finished all my calculus classes 2 years ago. Needless to say, I will be here for each new video due to obvious reasons.
In this video I learned to RESPECT THE PROCESS.
College maths tutor here. This is a video I'd love my first year students to watch if they're inexperienced or somewhat weak on maths.
Throwback to Calc I days 😂
I used to be an engineer, now Im not but I still watch her videos, i wanna say you are really wonderful, I wish for you more success.
The goat teacher who helped me pass math 5 years ago in highschool thankyou
This girl literally helped me get an A in Calc 1 and 2
I have mild discalculia. I often mix up terms and digits so I end up doing a problem about 5 times or more until I get it. I try not to look up the answer until I'm pretty sure I've got it right. I like watching these videos to learn new ways of solving problems. I managed to get into physics and precalculus in high school despite my learning disability. It's still fun to get those aha moments when I truly understand a new math concept.
I wanted you to know that I struggled so hard years ago, but found your channel!
Obviously I'm years separated from Algebra for the sake of studying, but wanted to say thank you. I'll certainly be directing my brothers here.
I was thinking about this channel the other day. Nice to see you again Janel.
How would you describe 0/0. That part was interesting.
I don't even need this video and I still watched it outta respect. She did a great job.
You convinced me, I'll respect the process.
Holy crap. The last time i watched her vids was for my ap calc course in highschool... Im graduating uni in a month
Now I love Mathematics for the first time 😁💕
Please make some linear algebra videos.
YAY YOUR BACK!! I already know all this stuff but still watched out of respect lmao
This is the first time to watch a video about math and not getting bored at all.
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*_CUTIE_* ❤️
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Subscribed to this channel when i was struggling with high school calculus 4 years back. 😂
Top tier math channel.
Limits always being cheeky. Like the explanation of 0⁰ being a value close to 1 when both numbers tend to zero.
I'm really glad you're back
Long time no video was waiting impatiently
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Such a beautiful explanation, loved it!
Holy shit. I subscribed I don't even know how many years ago. Regardless, you definetly helped me through calc 1&2 and know I'm second year for my biotechnology PhD. Thanks for your help all that time ago.
YEO SHES BACK. SHES FUCKING BACK !!!
Are women just better looking than men on average? It seems like attractive good looking women are everywhere but good looking guys are not all that common... I mean compare the comment section on the average female UA-camr and the average male UA-camr. Any thoughts fellow math nerds?
3:42, that's where my math education hit a brick wall, way back at highschool. You have this formula that has no solution, undefined, for x=4. Then you do some manipulations that are supposed to maintain exact identity - after all, (x+4)(x-4) IS exactly the same thing as x^2-16, etc. - and suddenly it HAS a solution for x=4. How is that possible? how can two representations that are supposed to mean exactly the same thing give different answers? The other kids took it for granted, the teacher shrugged my question off, and down dropped my interest and grades. In fact, I could still use an answer for that :-)
I've graduated college since I subbed to your channel but still watch your videos 😂
its worth noting polynomials and rational functions attain and are equal to their limit (when defined)
I always had trouble with limits back when I took calc. Even the profs couldn’t help lol but this vid did.. thanks
she is back
yeee..................................
Nice Explanation
I don't know why all mathematics teachers as bad as they are explaining , but you came to be super hero. hey my guys don't think badly 😂 I know what are you thinking about! I don't mean she is so pretty that's I can understand easily 😉🙄, no no no I think she so smart 👍. 加油
if only i had found out about your videos in hs would've had some decent sleep!
L'hopital plz
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PLS UPDATE FOR VIDEO... you are amazing
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Janel, can you do a video on spectral decomposition and eigen values/vectors?
I love you 💖 well done
There was math in this video ?
I already know how to do all this I’m just watching because...uhhh....I need a refresher??? Yeah I needed a refresher
Great!!
Take it
to the limit
one more time
how does she write on the opposite side of the mirror?
nice video.
Math Bff droppin' the F- bombs here :D S's gonna get real :P
whoa forgot about this channel
Amazing!
Don't look at the word.
Focus on fomula.
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lets just say if I am here , they're strategy worked. UA-cam algorithm knows me too well.
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I say that to myself quite often; "what the f .... that can't be right".
I graduated 🎓
I forgot to unsub after GCSEs, I wonder how that happened...
Oh god today I was thinking about your chanle
If E=MC2 then what is E if M is me?
First! Xxx
First!
Everything is mirrored in this movie including the t shirt but excluding the speech.
I'm 2 bad at this I give up 😭
I dont have maths as a subject now...still i am here!
I don't concentrate on maths ❤
first
There is no limit
I know most of you here no longer do calc
You never use this stuff in real life !!!!
She cursing??? I like her.
Hot girls talking about math. Why isnt this on the hub.
You are mine. 😂