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If the second argument is x then the equation is assumed.
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You can alternatively return the series converted into a polynomial using the oterm option:
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The third argument specifies the "truncation order" of the series calculations.
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The truncation order may be lower than expected if cancellation happens.
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The caching mechanism is used when series is called again with the original truncation order, leading to a more accurate result than before.
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The cache can be cleared by means of the command forget.
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The result of the series function will be represented in ordinary sum-of-products form, rather than in a series data structure, if it is a generalized series requiring fractional exponents.
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The same holds for expansions at .
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An example with algebraic number coefficients. By default, series returns a result with a division by an unrecognized zero in the leading term:
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Defining appropriately helps. Note that we also need to clear the cache of series first.
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| (25) |