Haven't been on this channel in a while... Taught me 11th-12th grade math back in 2011-12. I'm a doctor (radiologist) now, keep up the great work mate.

@lyricschannel7579

2 жыл бұрын

Same.. but in college. I am now a CyberSec Eng. I passed math thanks to him

@user-iq3uf2ls2s

7 ай бұрын

Doing cal 1, wanting to become a radiologist as well!

@hussa2700

7 ай бұрын

​@user-iq3uf2ls2s all the best, long journey but radiology is great!

Great to see you back Patrick! Your videos got me through my HND at my first university from 2016 - 18. I graduated last year with an MSc. Couldn't have done it without you.

@patrickjmt

2 жыл бұрын

thanks :) i appreciate the support and kind words!

the last limit had a much easier way to be done but thankss anyways !! by multiplying the numerator and denominator by its conjugate you get 1 - cos^2x ------------------ x^2(1 + cos^2x) then you can just convert 1 - cos^2x to sin^2x and using a limit rule sin^2x 1 ----------- . ---------- x^2 1 + cos^2x lim^2 sinx 1 ------- . ------ x-->0 x 1 + 1 (since cos(0) = 1) lim x --> 1 . 1/2 = 1/2 :))

@friedhegg8874

4 ай бұрын

that's actually incorrect logic

@moltenforger7295

4 ай бұрын

@@friedhegg8874 wait really? Could you please explain cause i also solved it like that.

I’m about to take a quiz on trig limits- I think this might end up saving me!

Great video. Helped me so much...

Thank you! You tuaght me everything I know.

watching this night before the test and realised by teacher never taught us how to do this and its going to be on the test. lucky me!

Simply great!!!

omg this is exactly what i needed

Good job💜

The legend returns

Good stuff JMT just like the end of Subdivisions by RUSH 👍

Thanks for the helpful videos, Patrick. Curious -- what app are you using to show your work?

@patrickjmt

2 жыл бұрын

it is called 'notability'

The prodigal son has returned

this question so amazing :D thank you bro

You are back finally 😭

Good job

What kind of device are u using to create yt lecture videos? Ipad pro 12.9 pro?

Thanks a lot

I want more problems like this but I dunno where to find them

Dear sir , Can you please prepare a playlist of your math videos for jee in india. Got your recommendation from flipping physics youtube channel.

Long time no see SIR!

These questions are really very easy for a student preparing for jee advanced exam

It is really great mathematician

Ladies and gentlemen, the king is back

@patrickjmt

2 жыл бұрын

you are too kind Mr. Newton

@isaacnewton2855

2 жыл бұрын

@@patrickjmt hats off to you

After a long time but finally.

@patrickjmt

2 жыл бұрын

ya, got burnt out. trying to get my second (or third or fourth or fifth....) wind

@gm0032

2 жыл бұрын

@@patrickjmt 🙌👍

Where did you go? Like you haven't been around for a long time now.

@patrickjmt

2 жыл бұрын

burnt out on youtube. working on other projects :)

@ha5266

2 жыл бұрын

@@patrickjmt hope everything will go well for you. take care of yourself first!! you are awesome :)

lim as x-> 0 of sin x over x is obvious from the Taylor expansion, yeah? Or even just look at the graph. What's so hard about proving that one?

hello, does anyone know what kind of note taking website/app he is using?

Teacher how to solve lim x approach to 2 Cos pi/2 over x-2

We use l'hopital also in 1st

@Ghaidaa

Жыл бұрын

lucky

will I be wrong if I just used L'Hospital's rule from the start?

@Philocalyleena

Жыл бұрын

Nope, actually saved a lot of time. I am currently in my second chapter of my calculus book and haven’t reached derivatives, that’s why my teacher teaches me this. He also told me once we reach derivatives, we would no longer make a use of this and use L’Hopital’s rule

At around 4:12, you are assuming that the lim function can be distributed among the terms of the argument. This assumption should be made more explicit, and it should be justified.

grind

6:41

L hopital rule laughing at the corner

Hi, for the tan(x-2)/(x^2-4) why not use lim ->0 tan(x)/x knowing that x->2 then x-2->0 ?

all questions are just an application of l'hopital rule

How are limits involving trig used by mathematicians in the real world to solve problems?

@patrickjmt

2 жыл бұрын

mainly limits are used in the formal definition of derivatives which have a million and one uses

@marjorieromero7147

2 жыл бұрын

@@patrickjmt Thank you?

@glorymanheretosleep

2 жыл бұрын

@@marjorieromero7147 No, thank the limit for being there.

Last one you wasted too much effort you could have just multiplied by 1+cosx on the den and nom

that is good but it is 2 min work for real give us a real mats. i work these with 1 min please give us real very very tricky questions and hard that you can show us if u can with in a week😅😅

Is not all that clear ….your writings are not clear … if you can do something about it for us