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.