14.2: Limits and Continuity

Objectives:
3. Evaluate the limit of a multivariable function if the limit exists.
4. Define continuity for a multivariable function.

[melchiortod]

My teacher only brings limits where you can't plug it in😂 thank you very much! Well explained!

[beyourself]

your videos help us a lot. thank you from core of my heart

[ChrisHuxleys]

I had a question in my quiz yesterday that looks almost just like #6 and I couldn't figure it out for the life of me. THANK you for clearing it up for me! Your videos perfectly align to my Calc 3 class!

[stnguyen]

Hey im taking Math 2415 right now. These videos are straight to the point and helpful!

[danielrojas]

Nawebona me salvaste el primer parcial mi reina, excelente video, me suscribo <3

[justintang]

pretty sure at 13mins, the value of delta and absol. on the graph should be swapped with +/- delta at the x axis and absol. at the y axis, no?

[daddyji]

btw you are very wonderful teacher and love from India 🇮🇳

[HamzaAhmed-oqod]

In the last example how do we get a 2r^2 and then the further 1/r in the numerator?

[ERKBOI]

I cannot understand the last example. Can you clarify it a little bit? Where does rsin came from?

[elmao]

are there rules to the paths you can take? as in can you add constants so that y= x+ 5 for example

[ChefFarisMom]

I have a question for last questions. Sin theta Ln r applying LHP rule then it will be Cos theta .1/r?

[vybsdeadly]

for the last example the limit as r --> 0 from the right is -infinite/ infinite ? becasue as ln goes to 0 y is going down forever ? so this confuses me because i didnt know lohopitals rule was applies this way

[enriquesoler]

I have a question for these types of limits: after I try direct substitution and got an indeterminate form, do I just go straight into proving the limit DNE or first try limit rules first to see if I can get a limit value, and if that fails I prove the limit DNE?

[daddyji]

are you teaching from thomas finney
calculus mam ?

[olidialunga]

Did I miss where you ended up explaining "the other trick"

[jkk-gc]

Great course, thank you very much. I wonder what textbook you are using. Is it the Stewart's Calculus textbook?

[ekindinek]

for the example 6, 31:09 ; why did you only check the r goes to 0+ but not both 0+ and 0-

[hafiziehamdie]

have you covered chapter 14.3? or maybe it is on a separate video?

[isisyasmim]

At 33:18 I'm having a hard time figuring out where that 1/r and -1/2r² came from. Can you clarify, please?

[Salamanca-joro]

21:10 in this example i made y=0 and i got 1 for y axis and 1 for x axis as well so the limit does exist and it value is 1 right? Or we are supposed to prove that the limit does not exist?