# taylor

From calculus v0.1.0
by Emanuele Guidotti

##### Taylor Series

Computes the Taylor series for functions, expressions or characters.

##### Usage

`taylor(f, var = "x", order = 1, accuracy = 2, stepsize = NULL)`

##### Arguments

- f
function, expression or character

- var
character. The variables of

`f`

.- order
the order of the Taylor approximation.

- accuracy
accuracy degree for numerical derivatives.

- stepsize
finite differences stepsize for numerical derivatives. Auto-optimized by default.

##### Value

list with components

- f
the Taylor series.

- order
the approximation order.

- terms
data.frame containing the variables, coefficients and degrees of each term in the Taylor series.

##### Examples

```
# NOT RUN {
# univariate taylor series
taylor('exp(x)', var = 'x', order = 3)
# univariate taylor series of arbitrary functions
taylor(function(x) exp(x), var = 'x', order = 3)
# multivariate taylor series
taylor('sin(x*y)', var = c('x','y'), order = 6)
# multivariate taylor series of arbitrary functions
taylor(function(x,y) sin(x*y), var = c('x','y'), order = 6)
# }
```

*Documentation reproduced from package calculus, version 0.1.0, License: GPL-3*

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