Taylor / Maclaurin Series for Sin (x)

[nairameam]

Your channel and the videos in it are the reasons why I didn't drop my Math55 subject. Thank you so much. you're way better than my professors here in terms of making me understand the lessons.

[patrickJMT]

@nairameam happy i could help :)

[LordOfThePracticePad]

Thank you so much!!

[misterthom100]

legend!

[melisantika]

I am very happy to see the vidoe Taylor / Maclaurin Series for Sin (x). In this video, I show how to find the power series representation for sin(x) using a Taylor/Maclaurin series expansion. from you, hopefully the others also are happy for You

[Onepissite]

I am very happy to see the vidoe after you give this Taylor / Maclaurin Series for Sin (x). In this video, I show how to find the power series representation for sin(x) using a Taylor/Maclaurin series expansion.

[Ondelendo]

I Love The Video It Can Increase My Knowledge Taylor / Maclaurin Series for Sin (x). In this video, I show how to find the power series representation for sin(x) using a Taylor/Maclaurin series expansion.

[bebeheuy]

Steady I Really Like This Video Taylor / Maclaurin Series for Sin (x). In this video, I show how to find the power series representation for sin(x) using a Taylor/Maclaurin series expansion.

[willamricard]

Nice Video That You Share , So Very Nice Thanks You Taylor / Maclaurin Series for Sin (x). In this video, I show how to find the power series representation for sin(x) using a Taylor/Maclaurin series expansion.

[imegatrone]

I Really Like The Video From Your Taylor / Maclaurin Series for Sin (x). In this video, I show how to find the power series representation for sin

[baunti10]

Thanks from Denmark :)

[sirusdavirus08]

how do you find the radius and interval of convergence of this video example?

[shaheenhearts]

What would we do if we were given e^(x^2+x) I know that there is a formula, with p(x)=0 but i don't know how to use it. If you give me a guide line of what i would search, or if you had a video already, THANK YOU :)

[betonmolenislol]

I like how I always have the urge to rewinding my IRL maths tutor but I cannot, and I never have the urge to rewind you even though I can.

[patrickJMT]

@betonmolenislol best to get done with me as soon as possible! : )

[1878DJM]

Dude you are uber cool one question though.. if I summed up a maclaurin series to find the first two terms(with value) of sin^2(x) my error would be? I know my two terms are x^2, -x^4 / 3 my guesstimate is: rn = 0 thinking I should be able to check that I am correct with the original function shouldn't I? Indeed

[aajg15]

Watching this videos is the only way I am studying

[patrickJMT]

@aajg15 i hope you get good grades / marks : )

[robot7p]

You did my homework! Thank you! XD

[runback1983]

you are an angel sent from the mathematical heavens. how do i get there :O?

[XMarvelousX]

why a=0???

[jorgeantoniolopez]

@XMarvelousX by definition in the exercise

[Aponhcet]

if i meet you a day , i'll pay u some beer !

thanks u

[alifwz62]

what is the different betweem the taylor and maclaurin series of sin x

[4RedScorpion4]

How would you find the MacLaurin power series for (sinx)^2 or sine squared x? I've been working on this problem for a while and still am not sure if I have the right answer.

[electrohousexxx]

you are simply the best.... THANK YOU!

[xXSparky117Xx]

Awesome, but the Sigma you drew made me cringe.

[Artmabuloso]

greetings from Mexico!

8D

[PANIONIOSG3]

In the university we have been taught that at the end of the Taylor / Maclaurin Series there is an R factor, that indicates how wrong we are on our estimation. But R is not included here... I don't know if I expressed myself properly, since I am not that familiar with the mathematical words in English :) I guess this is not in the purpose of your exercise. You are really good in your job, congratulations

[patrickJMT]

@PANIONIOSG3 well, when using finitely many terms, there is an error; you also can to justify that the function does have a taylor series expansion (that is, for which values of x it is valid).

yes, my point in this was simply to show the series expansion, assuming one exists.

[noolabel]

It is very useful, thanx a lot! Excellent job.

[gagikRLHS]

Yes! I got it right

[Pherwro]

greets from Poland, thx for help :)

[199bulldogs]

Thanks for the Help!!

[thaoboi2]

so basically everything is straight forward, just the last part is the part where you have to be smart and use your brain??

[archiemedes42]

I noticed in the video that the Maclaurin expansion of sin(x) is exactly the same as that of arctan(x) except that the 2n-1 in the denominator is factorialized for the former. What does that mean?

[OddRobb]

this is just the maclaurin series here

[patrickJMT]

@OddRobb as clearly stated in the title : )

[lorjenunze]

you just dont know how much ur helping me understand all these calc 2 stuffs... my prof only throwing out examples without teaching the basic concepts... he's nice and good tho.. but i just cant comprehend...but by watching these videoss, i really feel very confident when doing hw and and review previous quizzes without reading the book... so thanks alot!! kudos!!! :)

[inFraZor1]

you know what? screw this... I'm only gonna listen to your videos instead of my lecturer's notes... I paid over $5000 to my university and i get crap, while i get gold here for free....

so ironic

but thank you very much sir, i really hope you will be successful someday

[patrickJMT]

@inFraZor1 my life is quite good, so thank you : )

[SHITONASTICK1100]

@inFraZor1 haha this made me laugh... its sooo true.

[HoboFightConference]

LIFESAVER MAN... LIFESAVER

[Xytos]

i ran into god. he was trying to teach me math, but it turns out, he's not that good at it. i ended up correcting him a lot. does this mean im going to hell?

[spongelover]

@Xytos get jeebus to tutor him

[allaboutmath]

Neat stuff, I learned this in Calculus, first year university. I also had a problem at the final exam which involved the Taylor/Maclaurin series. Math rocks.

[yondaime500]

I saw this formula on Wikipedia a while ago out of curiosity (I'm not studying that yet). Thanks for explaining how it is achieved. For the record, on Wikipedia they start at n=0 and use "2n+1" instead of "2n-1", but I guess it's the same.

[patrickJMT]

@yondaime500 yep, it is absolutely the same

[laputahayom]

i like your sigma sign

[lllBOLTlll]

hey i just noticed ur married congrats i saw the ring for the first time lol yay

[lllBOLTlll]

is this an intergratoin series or an expansion of sinx

[Haroson]

You should teach professors "how to teach" :)

[gohpihan]

why does a = 0 ?

im still new to this concept

[bboydjoe]

@gohpihan cuz mclaurin series are always centered at a=0, while taylor series are centered at a=c (where c is any number)

[htjohnpruductions]

You should make a math show lol. It has never been done before , except in cartoon shows. Show entertaining examples of where these math problems are used in the real world then, then start teaching and explaining on how to solve these problems. It would be a great feature for Discovery Channel. :)

[patrickJMT]

@htjohnpruductions well that takes lots of time and more production expertise than i have. besides, i am trying to make the type of videos i would have liked to see when i was in high school / college: short and to the point! thanks for the idea though : )

[htjohnpruductions]

@patrickJMT I agree with you , thankyou for helping through out the whole school year though . I appreciate you spending time making these videos . You really helped me more than my math teacher himself in school lol .

[jnr1989]

@patrickJMT that would be awesome!! "math me!" hahaha

[sanjor8r]

dont worry patrick, your millions will come soon

[patrickJMT]

@sanjor8r ha, i dont think so : ) but thanks for believing in me!

[RedScorpion97]

yo, thanks buddy. thanks thanks thanks thanks thanks thanks thanks.

[Waranle]

Thanx Patrick

[MD3c0]

perfectly timed video :D