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Limit

Usage

Limit[expr, x-> ] 求当 x 趋于  expr的极限。


Notes

• 例如: Limit[Sin[x]/x, x->0]LongRightArrow .
Limit[expr, x-> , Direction -> 1] 计算 从左边趋于  时的极限。Limit[expr, x-> , Direction -> -1] 计算 从趋于  时的极限。
Limit 返回 Interval 对象,表示可能的值的范围,例如在本性奇点。
• 当Limit遇到没有任何信息的函数时不计算返回。因而Limit对符号函数不进行任何明确的假设。
• 参见 Mathematica 全书: 1.5.10 and 节 3.6.8.
• 同时参见: Series, Residue.
• 相关包: NumericalMath`NLimit`.
Further Examples

This gives the limit of a symbolic expression.

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This gives the limit of the tangent function at  approaching from the right.

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Here is the limit approaching from the left.

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Here is a symbolic polynomial in x.

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This gives a symbolic limit assuming the function fn to be an analytic function.

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If you do not set Analytic to True, L'Hopital's rule will not be used and the limit cannot be evaluated.

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