represents a term of order xn.
is generated to represent omitted higher‐order terms in power series.
represents a term of order (x-x0)n.
Examplesopen allclose all
Basic Examples (1)
Like approximate numbers, approximate functions are contagious:
O can be used to drop higher-order terms:
Generalizations & Extensions (3)
O[x,x0] represents a term with expansion point x0:
With expansion point ∞, the effective variable is :
An expression involving O is converted to a SeriesData object:
Wolfram Research (1988), O, Wolfram Language function, https://reference.wolfram.com/language/ref/O.html.
Wolfram Language. 1988. "O." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/O.html.
Wolfram Language. (1988). O. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/O.html