How to find the ONE-SIDED LIMITS of a function (KristaKingMath)

► My Limits & Continuity course: www.kristaking...
The general limit of a function at x=a is the value the function approaches as x gets very close to "a" from either side of "a".
Similarly, the right-hand limit at x=a is the value the function approaches as x gets very close to "a" as you move in from the right-hand side (or positive side) of "a". And the left-hand limit at x=a is the value the function approaches as x gets very close to "a" as you move in from the left-hand side (or negative side) of "a".
It's these left- and right-hand limits that we call one-sided limits, and it's important to understand how to calculate one-sided limits because they're part of the definition of the general limit.
In order for the general limit of a function to exist at x=a, the left-hand limit must exist at x=a, the right-hand limit must exist at x=a, and the value of the left- and right-hand limits must be equal to each other. If all three of these conditions are met, then we can say that the general limit exists at x=a. Otherwise, if any one or more of the conditions are not met, the general limit cannot exist at x=a. If the general limit does not exist, it implies that there's a discontinuity in the graph at that point.
● ● ● GET EXTRA HELP ● ● ●
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...
FACEBOOK // / kristakingmath
TWITTER // / kristakingmath
INSTAGRAM // / kristakingmath
PINTEREST // / kristakingmath
GOOGLE+ // plus.google.co...
QUORA // www.quora.com/...

[@blakeforever7399]

Your videos are preparing me so much for my test tomorrow. Something about the way you explain things, it’s just amazing.

[@iRoastedMC]

This is specifically what I have been looking for. Thank you!

[@kristakingmath]

You're welcome, Heisenberg, I'm so glad you found the video! :)

[@fahdalajmi8393]

tbh u are the best ever so keep it up

[@kristakingmath]

Fahd Alajmi thank you so much!

[@mehdimalallah6868]

Thanks for usfel video

[@raulsanchez4716]

Thank you!

[@kristakingmath]

You're welcome, Sanchez! :)

[@slayermastery]

3 years later. Great explanation thank you :)

[@kristakingmath]

Thanks, Robin! I'm so glad it helped! :D

[@MATRIXz]

Really thanks 💞💞🖤🖤!!!!! 😩

[@ayeshasaddique3320]

Thats great really fabulous keep it up GOD bless u

[@kristakingmath]

Thanks a lot, Ayesha! :)

[@sudhirpambhar1409]

Good explanation!!! Thanks!!!!

[@kristakingmath]

You're welcome, I'm so glad you liked it!

[@felipeferreira5206]

what would be the limit of x -> 0 of square Root of x?

[@hassaanidrees4622]

It was a great video, really loved it

[@kristakingmath]

Thanks! I'm glad you liked it!

[@hassaanidrees4622]

Can you please help me with some problems related to calculas?? (derivatives)

[@hassaanidrees4622]

I have a paper 2mrw...

[@indian_scouser_ynwa]

awesome thank u very much!!

[@kristakingmath]

You're welcome! :)

[@MATRIXz]

🖤🖤🖤🖤🤝💞💞