How to find limits on CRAZY GRAPHS (KristaKingMath)

► My Limits & Continuity course: www.kristaking...
Calculus textbooks like to give you totally funky, disjointed graphs, and ask you to find the limit at various points along the graph.
The purpose of this is to make sure you understand the concept of one-side limits (left- and right-hand limits), and the difference between one-sided limits and general limits. Questions like this also make you show that you know the difference between the value of the function at a particular point and its limit at the same point.
In this video we'll do a limit problem with a crazy graph and examine several points where the function is discontinuous, to find the value of the left- and right-hand limits, the general limit, and the value of the function itself.
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If you could use some extra help with your math class, then check out Krista’s website // www.kristakingm...
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingm...
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[@EngineermanCullen]

Absolutely the best explanations I've been introduced to so far. THANK YOU!

[@kristakingmath]

You're welcome, Cullen! I'm so glad it helped! :)

[@daddysaso]

I've been strugling with my Differential Calculus class, but I think I've just found my new teacher! Thank you so much for the clear and helpful videos! :)

[@kristakingmath]

You're welcome, Tommy! I'm so glad the videos are helping! :D

[@Akinzo]

Thanks a lot! I've been struggling with this for a while now

[@indian_scouser_ynwa]

krista king,u are the king of calculus.i'm a great fan of your lectures.

[@chikipichi5280]

THX YOU. All other videos were covering simple graphs and didn't explain these type of problems

[@jonrico7270]

I felt like such an idiot before watching this, but now I feel like a smart idiot. Thank you so much.

[@charliewatson6104]

best explanation, I have a calculus quiz tomorrow, this helped me understand limits

[@janna7745]

this is the best tutorial i feel like im gonna cry, thank u so much!! ❤️❤️

[@2henaaa]

going to take my basic cal later morning, i pray your teaching helpss TOT

[@kristakingmath]

You can do it! I hope it goes great!! 🫶

[@2henaaa]

​@@kristakingmath I GOT THE BEST RESULTS THANK YOU SO MUCH TOT

[@Moonlight-ce7po]

It's our exam tommorow and I'm having a hard time understanding this topic. Thank you for making this video,now I understand the topic in easy and understandble way. Thankyou for saving my life

[@akifaanzum7363]

I didn't understand the graphical concepts in the class and many other videos.but now i fully understand the topic clearly.thank you so much❤❤❤💖💖

[@kristakingmath]

You're so welcome, Akifa, I'm so glad this helped to clear things up! :D

[@aprilbarrera329]

Very helpful and your voice is so soothing.

[@gouranggarg989]

Fantastic explanation

[@sail2byzantium]

For clarification: if the function DOES NOT specify a number for x (so, just = f(x)), I am looking for a LIMIT. If the function DOES specify a number for x (e.g., f(3)) then I am looking for a VALUE, as in a precise or exact value. Am I understanding that correctly? So, from your examples, if x --> 3 + (from the right), the LIMIT (empty circle) of f(x) = 1; if x --> 3 - (from the left), the LIMIT (empty circle) of f(x) = 2. In the case of f(x) where x = 3, so f(3), the VALUE (solid circle) is 1.5.

[@kristakingmath]

Yes. If you have to find f(x) at x=3, then you're looking for the value (solid circle). If you have to find f(x) as x--->3^+ or 3^-, then you're looking for those left- and right-hand limits.

[@sail2byzantium]

Thank you!

[@BiranchiNarayanNayak]

Excellent tutorial, my concepts are cleared now.

[@kristakingmath]

Biranchi Narayan Nayak Glad it could help!

[@rajaabbas6277]

i like your lecture its nice to improve basic knowledge . nice

[@pigeonlove]

Some extra basic knowledge for you, This isn't basic knowledge douche.

[@cl0wnju1ce87]

@@pigeonlove they said improve basic knowledge, hon. calm your shit.

[@ae_strawberry]

This helps me to answer my quiz THANK YOUUUU

[@kristakingmath]

You're welcome, Aeranne! :)

[@mr.yousef3627]

YOU ARE A LEGEND Thanks a lot ❤️

[@jennorquiola66]

This is exactly what l'm looking for it's very similar to my module thankk u so much

[@vianelledelmundo2620]

Thanks for the help.

[@kristakingmath]

You're welcome, glad it helped! :)

[@gottalongcock473]

Thank you so much

[@apuhalder4408]

Best explanation ! Thank you ❣️

[@user-cn3zb8bu4t]

Very helpful.

[@hazimrassam9389]

Wow! Thank you

[@yeasirarafat6690]

very well explained, thank you for your effort.

[@kristakingmath]

You are welcome, Yeasir! I'm glad the video helped! :D

[@sobanahmedkhan7371]

very well explained!

[@Rana-lc7py]

You save my life ❤️

[@sisandatentu8377]

Wow thanks a lot ... I do understand now ❤️🙏

[@shaistaahmed2130]

best explanation

[@yudsreid222]

Thank you for this video! I learned a lot! 💗

[@kristakingmath]

You're welcome, Yuds! I'm so glad it helped! :D

[@laylakhalifah7453]

I CANT THANK YOU ENOUGHHHHHHHH

[@usama57926]

Can any tell how to plot this function in Mathematica ....................

[@akshaysanthosh4667]

How can one a find value of the function at the discontinuedpooint arithmeticaly (not from graph), obviously we cannot plug the limit, then how?. This is really making me confused

[@samarthrai1336]

Thanks

[@kristakingmath]

You're welcome, Samarth! :)

[@belikebruh1224]

Thank you for this ❤️❤️❤️

[@kristakingmath]

You're welcome, Bruh! :)

[@SafeAndEffectiveTheySaid]

Nice

[@joellarivera4149]

Thank youuuu very much! 💕✨

[@kristakingmath]

You're welcome, Joella! 😊

[@ginam3794]

Thank you so much!!!!!!

[@kristakingmath]

You're so welcome, Georgina!

[@Anna-pk1ye]

Thank youuuu

[@4reelss]

Thanks!

[@kristakingmath]

You're welcome, Sancho! :)

[@jaydeeed.9021]

Thank you😍😍

[@kristakingmath]

You're welcome, Jaydeee! 😊

[@nurdancak]

which programme do you use to sketch the graph

[@user-hf4ck1lg5s]

Explain wow and voice too much sweet🤩🤩🤩

[@mohaa5248]

Thank uu!!

[@kristakingmath]

You're welcome, Mohaa!! :D

[@fezzerbearsmom]

So since the graph diverges/discontinuous... the limit of f(x) as x--> 3 does not exist... yes?

[@kristakingmath]

+Lisa G Douglas Correct. Even though the left and right-hand limits exist at x=3, because they're not equal to each other (with is another way of saying there's a discontinuity there), the general limit as x-->3 does not exist.

[@peacewhosiargao2406]

Can I ask question?

[@paulocastillon6809]

Wow 😍

[@coxzocidhejene684]

Thank uuu

[@kristakingmath]

You're welcome, First! :D

[@coxzocidhejene684]

@@kristakingmath t'was our examination yesterday yet it rlly helped me !

[@kurdishpotato1707]

Thanks, I'll get high marks tomorrow for ya

[@testmylimits752]

SHIT!!! I STILL DON'T UNDERSTAND

[@noone9960]

-2 3 2 2 1 2 undefined undefined

[@noone9960]

1.5