Series - Qurak function reference

Computes a power series expansion.

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Former

Series[f, {x, x0, n}]

Series[f, x -> x0]

Series[f, {x, x0, n x}, {y, y0, n y}, …]

Verifiserte eksemplerSeries[Exp[x], {x, 0, 4}] → SeriesData[x, 0, {1, 1, 1/2, 1/6, 1/24}, 0, 5, 1]Series[1 + x, {x, 0, 3}] → SeriesData[x, 0, {1, 1}, 0, 4, 1]Series[x^2 + x^4, {x, 0, 7}] → SeriesData[x, 0, {1, 0, 1}, 2, 8, 1]Series[3, {x, 0, 3}] → 3 Series[a + b, {x, 0, 3}] → a + b Series[1/(1 + x), {x, Infinity, 3}] → SeriesData[x, Infinity, {1, -1, 1}, 1, 4, 1]Normal[Series[Sqrt[x^2 + 1], {x, Infinity, 2}]] → 1/(2*x) + xAlternativer

Analytic — default True
Assumptions — default $Assumptions
SeriesTermGoal — default Automatic

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Brukt i

Asymptotic behavior of a function - 4 steg

Emner

Analytic Number Theory - Operations
Asymptotics - Asymptotic Solvers
Calculus - Vector Calculus »
Elementary Functions - Hyperbolic Functions »
Formula Manipulation - Extracting Parts of Formulas
Manipulating Equations - General

Relatert

SeriesCoefficient InverseSeries ComposeSeries Limit FunctionAnalytic Normal InverseZTransform RSolve SeriesData PadeApproximant FourierSeries AroundReplace