Excellent illustration of test. Question: could someone please explain the “green” equation that plots the green line in Desmos showing the distance btw actual and error as n increases? Trying to understand how the professor constructed it: (b, t(a) + (1-t)f(a))
@alialbrega500727 күн бұрын
Which book did you use?
@JCCCmath25 күн бұрын
At the time of these videos, I was using Thomas' 14th Edition.
@karamk321Ай бұрын
How did the -x^3/3 became -x^3/6
@YsoGameАй бұрын
Sir lec was W :)!!
@johnleandrepermison7175Ай бұрын
Nice Vid!
@__-cm7obАй бұрын
nice video
@virajchaudhary2432 ай бұрын
VERY HELPFULL
@zzym41072 ай бұрын
thank you!!
@jacobsandy85393 ай бұрын
How tall are you
@thisukainol5 ай бұрын
thanks
@rizwanapatel35686 ай бұрын
Plz help me to solve integral minus infinty to infinity e-2/x/dx
@djarda28036 ай бұрын
nice explanation than these idiot indians
@ClassicalContrarian7 ай бұрын
This is an awesome video!
@superfreiheit18 ай бұрын
After I saw this video I finaly get it, wonderful teacher
@milan10399 ай бұрын
Legend❤
@abdullahrahat15789 ай бұрын
thank you so much for explaining so well. <3
@weewoo302310 ай бұрын
I have no memory of doing this
@user-vg4rq4qw5o11 ай бұрын
Thank you very much indeed this is really easy to follow and well explained
@gr396711 ай бұрын
Thanks ❤❤
@thatsfantastic31311 ай бұрын
beautiful explanation♥ love from pakistan
@anthonysigns1075 Жыл бұрын
#CALC242
@samarpanjha5491 Жыл бұрын
Tnnx sir love from india
@Paulovrish7334 Жыл бұрын
Clean explanation
@walinut6443 Жыл бұрын
Thank you so much! I have a calculus 2 test in a few days, and a similar question appeared on my review. The teacher's method of solving was too difficult, but you made things so much more easier! May you live a long, healthy life!
@JCCCmath Жыл бұрын
Glad I could help.
@sujitmhadesar5246 Жыл бұрын
Tysm for this video....helped a lot!
@JCCCmath Жыл бұрын
You're welcome 😊
@aldobehrens5300 Жыл бұрын
Amazing
@JCCCmath Жыл бұрын
Thank you! Cheers!
@enzoys Жыл бұрын
THIS IS IT! this was the explanation I needed for helping me with vector calculus and I'm so happy I found your video!! thx
@JCCCmath Жыл бұрын
Great to hear!
@mujtabaahmadi7960 Жыл бұрын
Great explanation. Thanks!
@JCCCmath Жыл бұрын
Glad it was helpful!
@noodle77888 ай бұрын
@@JCCCmath What is theorem 5?
@JCCCmath8 ай бұрын
@@noodle7788 , in the Calc II course these videos are used in, we use the Thomas Calculus book and Theorem 5 is just a list of 6 frequently used limits. This allows the students to just quote the theorem as opposed to re proving them every time.
@noodle77888 ай бұрын
@@JCCCmath I'm curious what the proof shows? does it just use the fact that the factorial function in the denominator grows much faster than the numerator. Or is there some way to better show limits with a factorial denominator goes to zero
@kingat8056 Жыл бұрын
Thank you, it's very helpful
@JCCCmath Жыл бұрын
You are welcome!
@snowcave4417 Жыл бұрын
Great stuff
@agnesnyambura334 Жыл бұрын
Thank you
@JCCCmath Жыл бұрын
You're welcome
@jwad21s91 Жыл бұрын
He got right to the point, something you rarely see
@bcnubynby4056 Жыл бұрын
The function f(x)=x/x+2 is increasing as shown by its derivative for all x>0. Graphing on Desmos verifies this as well. Therefore, condition two is met. All of this is beside the point because condition three fails and therefore an approach other than AST is needed. The video presentation is wonderful and goes beyond by showing "to error is human". Thanks for your fine teaching.
@izzygrandic Жыл бұрын
This is a great video and you are a great teacher.
@JCCCmath Жыл бұрын
Thank you. Glad you liked it.
@matokurin Жыл бұрын
Great
@matokurin Жыл бұрын
Great
@abdulrafay42240 Жыл бұрын
We do not take r<0 values, because it shows the reflection in polar coordinate?
@JCCCmath Жыл бұрын
We do allow for r<0 typically and interpret it as a reflection through the origin.
@kartik3032 жыл бұрын
Thank you sir
@billwindsor42242 жыл бұрын
Excellent explanation, sir, *Thank You!*
@henryglenn5342 жыл бұрын
LET'S GOOOO!
@letumilechocho2312 жыл бұрын
Thank you!!!🌸
@JCCCmath Жыл бұрын
You are Welcome
@ee76922 жыл бұрын
ib exam tomorrow thanks king saving lives
@yahya-yl3rd2 жыл бұрын
great video!
@hoaquach76842 жыл бұрын
Great job
@dhiaelhakrouabah86632 жыл бұрын
I just dont understand why the c is in between a and x0 (the point of our intrest) given that we're intrested in x0 then f^(n+1)(x) is supposed to be evaluated at x0 ...and other points of x are simply irrelavent . I understand that error bound should be as large as it can be by taking into account the worst case scenario and this is how we can bound it ..but x is supposed to be between a and x0 instead of c=x0 which is where we wanna know value of our approximation . What am i missing here?
@fullfungo Жыл бұрын
Realistically, you don’t need to write the error term as f(c)…, it has other forms as well. For example, “if |f^(n+1) (x)| < M on [a,b], then |R_n(b)| < M |b-a|^(n+1)/(n+1)!” In this formulation you just use the same bound. But if the function is continuous, then it has a point “c” where f^(n+1) (c) = M. So the form used in the video really only helps if f^(n+1) is continuous.
@dhiaelhakrouabah8663 Жыл бұрын
@@fullfungo thanks for commenting im still struggling with that concept . Like i understand that term is bounded by some number M bcuz we dont really know real value so we want to know how big it can get . But we assume c to be in between a and x0 ... like why exactly ? I didnt come across any justification and i dont quite get why they its not simply right at the point of evaluation x0? It just doesnt make sense to me
In the course that this video is for, the students prove that by finding upper and lower bounds on the integral of (1/x) from 1 to 2 and 1 to 3, respectively. This, lead to concluding that there is a location between 2 and 3 where ln(x)=1, therefore 2<e<3.