wgGddlmZddZy))sympifyNc@t|}|j||||S)aSeries expansion of expr around point `x = x0`. Parameters ========== expr : Expression The expression whose series is to be expanded. x : Symbol It is the variable of the expression to be calculated. x0 : Value The value around which ``x`` is calculated. Can be any value from ``-oo`` to ``oo``. n : Value The number of terms upto which the series is to be expanded. dir : String, optional The series-expansion can be bi-directional. If ``dir="+"``, then (x->x0+). If ``dir="-"``, then (x->x0-). For infinite ``x0`` (``oo`` or ``-oo``), the ``dir`` argument is determined from the direction of the infinity (i.e., ``dir="-"`` for ``oo``). Examples ======== >>> from sympy import series, tan, oo >>> from sympy.abc import x >>> f = tan(x) >>> series(f, x, 2, 6, "+") tan(2) + (1 + tan(2)**2)*(x - 2) + (x - 2)**2*(tan(2)**3 + tan(2)) + (x - 2)**3*(1/3 + 4*tan(2)**2/3 + tan(2)**4) + (x - 2)**4*(tan(2)**5 + 5*tan(2)**3/3 + 2*tan(2)/3) + (x - 2)**5*(2/15 + 17*tan(2)**2/15 + 2*tan(2)**4 + tan(2)**6) + O((x - 2)**6, (x, 2)) >>> series(f, x, 2, 3, "-") tan(2) + (2 - x)*(-tan(2)**2 - 1) + (2 - x)**2*(tan(2)**3 + tan(2)) + O((x - 2)**3, (x, 2)) >>> series(f, x, 2, oo, "+") Traceback (most recent call last): ... TypeError: 'Infinity' object cannot be interpreted as an integer Returns ======= Expr Series expansion of the expression about x0 See Also ======== sympy.core.expr.Expr.series: See the docstring of Expr.series() for complete details of this wrapper. )rseries)exprxx0ndirs X/home/mcse/projects/flask/flask-venv/lib/python3.12/site-packages/sympy/series/series.pyrrs#t 4=D ;;q"a %%)Nr+)sympy.core.sympifyrrr r rs &;&r