Epsilon delta proofs 7 - Functions involving square roots

In this video we demonstrate how to prove limits using the epsilon-delta definition if the functions we are considering involve square roots or other fractional powers. We do three examples:
lim_(x to 4) root(x) = 2 proved at 0:20
lim_(x to -2) root(x^2+5) = 3 proved at 7:00
lim_(x to 8) x^(2/3) = 4 proved at 13:50

[@jesuisravi]

You are one of the really intelligent math presenters on this site. Sorry to see you are no longer making videos.

[@mahinderpal9419]

Try to connect him on Facebook

[@renkiemkhize2262]

Thank you so much 😀

[@simbafrankgavaza8482]

Really helped thanks 👏

[@KiziltasDATA]

Thanks a lot

[@welfarewagonrepairs]

i am unclear about how you get the "7" when you stipulate delta to be less than/equal to 3. i get -3

[@DaveSalwinski]

Yeah, from that it follows that x-2 in abs values is less than 7

[@ABHISHEKSINGH-nv1se]

Hi Dave, How you doing. Long time No See.

[@bearh8928]

I get lost when you drop the entire denominator @12:14 .. why is that?

[@Jiftyj]

because the denominator is greater than 1 for all x. This means that |x-2||x+2|/(sqrt(x^2+5)+3)

[@chandramathematicspoint8491]

How do we show that lim(|x|+1)=1 as x approaches to infinity?

[@liamgauvreau]

it approaches infinity no?

[@johnbatchler2833]

You have to square the epsilon base on book

[@bhubankheti1729]

How u find delta minimum

[@ammarbamhdi]

Refer to Geometric visualization to have an understanding of the "Minimum" delta.

[@finmat95]

12:30 Wait, what?
13:09 Wait, that's illegal

[@ronycb7168]

The audio quality is poor with computer's speaker... you could try using a lapel on your shirt etc.

[@SharpObserver1A]

M0R0N.

[@DaveSalwinski]

lol