This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
 BUILT-IN MATHEMATICA SYMBOL

# O

 O[x]^n represents a term of order . O[x]^n is generated to represent omitted higher-order terms in power series. O[x, x0]^n represents a term of order .
• Normal can be used to truncate power series, and remove O terms.
A series representing an approximate function:
Doing operations on the approximate function maintains the appropriate series order:
A series representing an approximate function:
 Out[1]=
Doing operations on the approximate function maintains the appropriate series order:
 Out[2]=
 Scope   (2)
Like approximate numbers, approximate functions are contagious:
O can be used to drop higher-order terms:
O represents a term with expansion point :
With expansion point ∞, the effective variable is :
An expression involving O is converted to a SeriesData object:
 Applications   (1)
Find the lowest-order terms in a large polynomial:
Applying a function may give a different number of terms than generating the series from scratch:
New in 1