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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 .
MORE INFORMATION
  • Normal can be used to truncate power series, and remove O terms.
EXAMPLESCLOSE ALL
Basic Examples   (1)
A series representing an approximate function:
Doing operations on the approximate function maintains the appropriate series order:
A series representing an approximate function:
In[1]:=
Click for copyable input
Out[1]=
Doing operations on the approximate function maintains the appropriate series order:
In[2]:=
Click for copyable input
Out[2]=
Scope   (2)
Like approximate numbers, approximate functions are contagious:
O can be used to drop higher-order terms:
Generalizations & Extensions   (3)
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:
Properties & Relations   (1)
Applying a function may give a different number of terms than generating the series from scratch:
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