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MTM[taylor] - Taylor series expansion
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Calling Sequence
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taylor(f,n,v,a)
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Parameters
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f
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expression
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n
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(optional) positive integer
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v
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(optional) symbol
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a
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(optional) real constant
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Description
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The function taylor(f,n,v,a) interprets the expression f as a function of v, and returns the (n-1)-degree Taylor series expansion of f(v) about the point a.
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If n is not specified, then n = 6.
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If v is not specified, then v is the default symbol of f, given by findsym(f,1).
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If a is not specified, then a = 0.
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The optional parameters need not be passed in the order, n,v,a. More precisely, the arguments are assigned to n, v, and a in the following way:
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I.
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. The first positive integer optional argument is assigned to n.
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II.
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. The first non-numeric optional argument is assigned to v.
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III.
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. The first real numeric optional argument is assigned to a, unless the argument is also a positive integer and n has not yet been assigned a value.
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Examples
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