MultiSeries[LeadingTerm] - find the leading term of a generalized series expansion
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Calling Sequence
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LeadingTerm(expr, x)
LeadingTerm(expr, x=a)
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Parameters
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expr
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algebraic expression
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x
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name; the series variable
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a
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algebraic expression; the expansion point
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Description
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The LeadingTerm function computes a function that is equivalent to expr as the variable x tends to its limit point a. If a is not given, it defaults to 0.
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When the limit of expr is finite and nonzero, LeadingTerm returns this limit.
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In rare cases, it might be necessary to increase the value of the global variable Order in order to improve the ability of LeadingTerm to solve problems with significant cancellation. This is made explicit by an error message coming from multiseries.
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It can also happen that the result is wrong because Testzero failed to recognize that the leading coefficient of a multiseries expansion happens to be 0. In those cases, it is necessary to modify this environment variable (see Testzero).
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The result is in product-of-powers form.
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Examples
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