03 - Evaluating Limits by Factoring, Part 1

Learn how to evaluate limits in calculus by factoring and canceling terms.

[fatnidge]

I have been trying to get a grasp of this for god knows how long. watched loads of other videos to no avail. You deserve a medal for finally driving the understanding of this into my thick head.

[williamjayaraj]

Thank you very much for the teaching calculus professor. And it is easy to understand way.

[leagomaity]

Fantastic! Really enjoyed and understood it clearly, I wish you could have tought me math at a college level and i could have been an engineer by now unfortunately now age cought up with me👌

[abebalech]

My friend, your students are lucky to have you .

[aram]

You can also take the derivative of the numerator (plug in limit x), take the derivstive of the denominator (and plug in limit x), and you get the same answer.

[yesserlabidi]

2 truths 1 we are never bored in your courses 2 you explain really good ! thank very much and good job !

[jafarakechmalueth]

Your lessons are very interested my teacher may God continue blessing

[dugunu]

Thank a lot, it was a good explanation.

[leagomaity]

Thanks so much professor you make math such an interesting subject

[tufilwamukongo]

You are the best in limits sir. Your steps are easy 🎉

[yungifez]

when something is infinitely approaching 0, it is still a number

i feel like limits tell us the infinite immediate number that the function CANNOT reach

so what i think is that since infinity is still a number not equal to 0 but with 0s as what it is approaching, that 1 infinitely close number can be twice as big as the other

therefore when you divide those two numbers, you get a half

[bradedwards]

Man i have to say that i think the part where you reveal that the 0/0 is really to be viewed as the ratio of speed of approach of the numerator to denominator at a specific value of x (if i didn’t just butcher that) might be the first time I’ve understood the logic behind the derivative. If this sounds right—thank you! If not, i’m still ignorant 🤣

[fantastic]

18:30
I'm sorry, didn't you miss the 4x in the example? If not, where is it, how we resolved it?