- #1
paul2211
- 36
- 1
Currently, I'm doing some self studying on series, and I'm a bit confused regarding c (the value that the series is expanded about).
For example, does the Maclaurin series expansion of Sin(x) and the Taylor series of Sin(x) about c = 1 both converge to Sin(x)?
If so, what does the value of c do in this case? Can someone explain to me of its significance?
If they are not equal, does the Taylor series add up to Sin(x-1)? If this is the case, then what is the difference between a Taylor series of Sin(x) about c = 1 vs. a Maclaurin series of Sin(x-1)?
I'm really confused about this matter right now, and I hope I made my question clear.
Thank you guys in advance, and I'll be really grateful if someone can clear this up for me.
For example, does the Maclaurin series expansion of Sin(x) and the Taylor series of Sin(x) about c = 1 both converge to Sin(x)?
If so, what does the value of c do in this case? Can someone explain to me of its significance?
If they are not equal, does the Taylor series add up to Sin(x-1)? If this is the case, then what is the difference between a Taylor series of Sin(x) about c = 1 vs. a Maclaurin series of Sin(x-1)?
I'm really confused about this matter right now, and I hope I made my question clear.
Thank you guys in advance, and I'll be really grateful if someone can clear this up for me.