Taylor / Maclaurin Series for Sin (x)

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.
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Category:

Education

Tags:

• math
• calculus
• power
• series
• taylor
• maclaurin
• sinx
• sin(x)
• sine

[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 :)

[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! : )

[aajg15]

Watching this videos is the only way I am studying

[patrickJMT]

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

[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 : )

[KanzakiGNT]

@KanzakiGNT I'm sorry, I mean Cx between 0 and 1.

[KanzakiGNT]

Hello.

I'm a little bit disturbed with your Maclaurin series tbh, because the general formula we've been studying doesn't end with the "..." at the end of the expansion but rather with a quantity that defines the "rest" of the function.

For example, in the case of sin x, it is something like

sin x = SUM(from k=0 to n) (-1)^k x^(2k+1)/(2k+1)! (end of the sum)

+ (-1)^(p+1) x^(2p+3)/(2p+3!) sin(Cx)

With Cx in the definition interval of the function. Thanks in advance.

[edr1cjp]

are u free to show a power series for sin(x-x^2) up to term containing x^4?

[LordOfThePracticePad]

Thank you so much!!

[misterthom100]

legend!

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[Onepissite]

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