Finding the Limit of a Vector Function

[@scoobynicker]

Back for calc lll this time semester. Always come to you first.

[@patrickjmt]

Thanks! Good luck in the class!

[@polishhammer1992]

I watch your videos more than anything on youtube. You are the reason I pass all my difficult math classes in college. God Bless your soul.

[@patrickjmt]

good luck in your studies! :) glad you like the videos

[@DoggoWillink]

I'm happy this isn't so bad. My single variable book is the same book for multivariable, so I'm working ahead and learning everything so that I do better in my summer multivariable class. I also have to learn Maple, which I've been looking into. Thankfully Patrick comes to the rescue, as usual, and teaches me multivariable calculus before I even start class haha.

[@prasoon-manandhar]

awesome... you have taught me to solve mathematics with ease,tactics, and patience!! thanks brother... you have definatly helped world to produce numerous engineers... salute sir!!

[@patrickjmt]

@polishhammer1992 awesome! glad you like them so much

[@Azkadaz]

When I pulled open this video, I laughed out loud. The problem that you did in the video is the EXACT same problem I was doing on my homework! Great video, thank you!

[@KampfenSoldat]

THANK YOU GOOD SIR. I can't believe how easy it is to forget these simple rules... Taking Calc III over the summer at accelerated pace is terrifying and you've made it much easier. :D

[@letihmak]

thank you..my friend and i were going crazy about finding the limit of a vector function..thanks to your vid,,we can solve our homework which is due tomorrow!!

[@CuriousDiscourse]

I got a B in calc 2 thanks to you now time for calc 3 :)

[@rezapsantoso]

im trying to study limit for vector functions for my homework and its exactly the same problem ! OMG thanks for the tutorial !

[@crayzywlk]

nice videos dude. please put out more calc vids

[@patrickjmt]

@Rapol12 this is probably correct : )

[@DavidAKZ]

Thanks, that was great. What s/w tool would you use to graph these sorts of functions and their derivatives ?

[@abdalrahmanarrob6802]

YOU ARE THE BEST

[@r_i_s_i_18]

Thank you for this amazing video, it's really helpful me

[@SuperNoodles27]

I LOVE U PATRICK !!!!!!!!!!

[@CrashTestDummy777]

Dude. You are awesome!

[@prettypistol3377]

How is it that you have two of my exact homework problems that I was looking for help with? This problem and find domain of vector function r(t) = (t-2/t+2)i + (sint)j... I'm taking Calc III at University of Missouri- St. Louis.

[@abdelrahmanhewedy9774]

really helpful God bless you

[@patrickjmt]

lol, u are right! and yet, i managed to win the spelling bee when i was younger... hahah

[@mpforeverunlimited]

This is the exact problem in my homework 😂 i wonder if he's using calculus by James Stewart or if it's just a coincidence

[@مرتضىالزيرجاوي-غ7ب]

thank you. When the denominator is zero and the numerator is a number, what do I do then?

[@buibere]

It helped me a lot,,,,,Thank U :)

[@nathanmccolloch]

@patrickJMT ...weird, when i search for a video for this in accidentally typed "funtion" twice

[@lightxdead]

what about doing limits in polar coordinates?

[@aliahfawzia5610]

Thank you so much! your video really helpfulllll

[@palvindarchhokar9821]

+patrickJMT Do you have any recommendations that I could use so that I could do examples for all of multivariable calculus as well as linear algebra. Thanks for the videos! Will you be doing videos in higher mathematics like group theory and whatnot?

[@virtuousjoffrey8022]

There are several books on applications of Linear Algebra and Multivariable Calculus. I suggest you look this up on reddit or Quora, it will be more helpful.

[@patrickjmt]

any engineer would want to know this stuff

[@veggiekeller]

You said you could have used l'hospital's rule, but my professor said that l'hospital's rule doesn't hold for 3d vectors. When are you allowed to do that?

[@anishanagpal7004]

ya even my teacher said the same

[@anishanagpal7004]

is there any other way to solve the question

[@Sai-dj1iv]

no thats not true. you can use l'hospital rule provided that you are dealing with only one variable. In this case it was all in "T" and the lim was t->0. For example if you have a function of x and y , with the lim being (x,y)-> (0,0) then you cant use L'H becuase at that point you are dealing with more than one varaible. L'H only works for 1 variable.

[@VeritasAmantesVocat]

great vid, except the link from the website said this was Finding the Domain of a vector function : /

[@AngelloMaggio]

amazing!

[@tracerbullet44]

Plug and Chug? hahaha my Prof says that a lot.

[@rshd_m.aTrades]

thank you :D

[@R1d3rrr]

e^t - 1 ~ t sqrt(1 + t) - 1 ~ t/2 easy :))

[@mihirbpi]

what does t mean?

[@MrSocialish]

time variable

[@rogermoore27]

I love the correction. Somebody gave me a thumbs down....lol. Damn....

[@MRIYBR]

i m becoming an engineer, i don't want to know this stuff but I have to..... ROFL !!!

[@raychulzee]

Patrick, you are a beautiful man.

[@rockoutcaulkout]

and most physics jobs

[@aznlalaland]

i would marry you but i spy a wedding ring! :[

[@rogermoore27]

of course grammar is important. What a silly question.

[@rogermoore27]

good at math, bad at spelling.

[@letihmak]

thank you..my friend and i were going crazy about finding the limit of a vector function..thanks to your vid,,we can solve our homework which is due tomorrow!!