Sequences - Examples showing convergence or divergence

jaleed Says:

Feb 10, 2012 - I was doing the exact same problem, and i had trouble with it. Youtubed patrick for sequences, and got the exact question. :)

MrZiaurrahman Says:

Feb 21, 2012 - brilliant!!!!!!!!!

Canada9318 Says:

Feb 23, 2012 - Sharpie should introduce a line of markers called the "Patrick JMT Series"

patrickJMT Says:

Feb 23, 2012 - yes they should :)

Redxtc1226 Says:

Mar 11, 2012 - this dude is awesome. I'm learning more from these videos than my teacher

seaweedsupper Says:

Mar 21, 2012 - Calc 3 finals tomorrow and after watching these videos I feel really prepared. Thanks!

Wt786 Says:

Mar 22, 2012 - why does (2n-1)! go to (2n-2) (2n-3) and in the denominator(2n+1) vice versa :( ? I dont understand why it is raising in the encounter and decreasing in the denominator...could u please help???? :(((.... btw your videos are AWESOME

pyakurel123 Says:

Mar 24, 2012 - I LOVE YOU....

rawrracoon Says:

Mar 25, 2012 - I gotta say, that squeeze example was pretty neat :3.

wizardcud37 Says:

Mar 30, 2012 - I should just give you my tuition... I learn more from you than any of my professors.

NuklearStarcraft Says:

Apr 1, 2012 - @patrickJMT: I love your videos! My Calc Professor is this Russian guy with a heavy accent, and really hard to understand, but thanks to you, I might actually be able to pass my exams :)

NooraDaPersianMasta Says:

Apr 7, 2012 - I truly appreciate everything you're doing. helping a poor soul in university who's paying so much yet learning everything on youtube -_-

Angelgrrl04 Says:

Apr 11, 2012 - Just wondering, how do you know cos of anything is between -1 and 1? I know that it does if you plug in any number, but is it something you just remember?So sin of anything is also between -1 and 1. But how about tan?

ThexMrsxBrightside Says:

Apr 11, 2012 - 8 people hate cal:P

magriva1 Says:

Apr 15, 2012 - great video!!!

93ABEDA Says:

Apr 16, 2012 - Thank you for the videoo!

6blueflow Says:

Apr 24, 2012 - thanks! this really helped me!

AdamFidler1 Says:

Apr 27, 2012 - If you graph each of the functions you will be able to see their domain and range.Sin: domain = (-∞, +∞) range = [-1, 1]Cos: domain = (-∞, +∞) range = [-1, 1]Tan: domain = All reals except ±(π/2, 3π/2, 5π/2 ...) range = (-∞, +∞)

AdamFidler1 Says:

Apr 27, 2012 - You can't get a degree from him though...

hchoy Says:

Apr 27, 2012 - hey patrick, did you ever make videos for the website webassign? (calc related) some of the problems have tip videos with handwriting and voice eerily similar to yours...

wahay636 Says:

Apr 29, 2012 - "Squeeze Theorem" = Sandwich Theorem

seddie777 Says:

May 9, 2012 - I know @AdamFidler1 already kind of explained it, but I thought it might be a bit unclear. Look at the y and x values of a sin and cos graph. it is a wave that goes from -∞ to +∞ in the x direction, but can only go up to 1 and down to -1 because it is alternating. cos is exactly the same scenario but cos is shifted over by a factor of π/2. tan on the other hand (look at the graphs for these, it will help a lot) has vertical asymptotes at the factors of 2π=x but includes all y values.

Angelgrrl04 Says:

May 9, 2012 - I was never good at looking at graphs or interpreting them. But this makes somewhat sense. Thank you. :)

MsNiki246 Says:

May 14, 2012 - you really need to write a study guide to accompany your videos. Excellent job! Thanks to you i got an A in calculus.

SomethingSoOriginal Says:

May 24, 2012 - Squeeze is the same as the sandwich rule right?