Question

Guys What does it mean by centered at something in taylor's series?

Answer 1

its mean value of x.

like if centered of taylor is at 0 i.e. x=0 then it is called maclaurin series.

good luck.

Answer 2

what does x=0 mean? is there any graphical analysis?

Answer 3

yes there is a graphical analysis. ofcourse.

http://en.wikipedia.org/wiki/Taylor_series

Answer 4

one more help; when you say taylor series centered at some value doesn't that mean a=0,(or it is x=0), in the power series notation shown in wikipedia
http://en.wikipedia.org/wiki/Taylor_series

Answer 5

a = centered value. If a = 0, then it is a Maclaurin Series: http://en.wikipedia.org/wiki/Maclaurin_series

Answer 6

Sorry for mistyping :one more help; when you say taylor series centered at 0 doesn't mean a=0,(or is it x=0), in the power series notation shown in wikipedia
http://en.wikipedia.org/wiki/Taylor_series

Answer 7

a=0

Answer 8

but why @Shayaan_Mustafa said it mean value of x.

Answer 9

kind of confusing lol

Answer 10

he is wrong then

Answer 11

yeah yeah.. it is a i meant. sorry if that mislead you.

Answer 12

when you make a power series (Taylor) aproximation of the function. You calculating it's derivatives of nth order at a chousen point to see how this function behaves. And this way make a lineal aproximation of a , in general, non lineal function. Hope this helps

Answer 13

if you start taking the derivatives of this Taylor polinomial, you will actualy get the same if you would taking the derivatives of a primitive function

Answer 14

kind of makes sense. Thnks to all