Compute a Limit (Mathematica How To)

Even simple-looking limits are sometimes quite complicated to compute. Mathematica provides functionality to evaluate several kinds of limits.

FourierCoefficient (Built-in Mathematica Symbol)

FourierCoefficient[expr, t, n] gives the n\[Null]^th coefficient in the Fourier series expansion of expr.FourierCoefficient[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives a ...

FourierTrigSeries (Built-in Mathematica Symbol)

FourierTrigSeries[expr, t, n] gives the n\[Null]^th-order Fourier trigonometric series expansion of expr in t.FourierTrigSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives ...

Integral Transforms and Related ... (Mathematica Tutorial)

One-dimensional Laplace transforms. The Laplace transform of a function f(t) is given by ∫_0^∞f(t)e^-stt. The inverse Laplace transform of F(s) is given for suitable γ by ( ...

TransferFunctionFactor (Built-in Mathematica Symbol)

TransferFunctionFactor[tf] factors the polynomial terms in the numerators and denominators of the TransferFunctionModel object tf.

PDF (Built-in Mathematica Symbol)

PDF[dist, x] gives the probability density function for the symbolic distribution dist evaluated at x.PDF[dist, {x_1, x_2, ...}] gives the multivariate probability density ...

FindLibrary (Built-in Mathematica Symbol)

FindLibrary[lib] finds a dynamic library that can be loaded by LibraryFunctionLoad.

FourierCosSeries (Built-in Mathematica Symbol)

FourierCosSeries[expr, t, n] gives the n\[Null]^th-order Fourier cosine series expansion of expr in t.FourierCosSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives the ...

$LibraryPath (Built-in Mathematica Symbol)

$LibraryPath gives the default list of directories to search in attempting to find a library.

ComposeList (Built-in Mathematica Symbol)

ComposeList[{f_1, f_2, ...}, x] generates a list of the form {x, f_1[x], f_2[f_1[x]], ...}.