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单词 indeterminate form
释义
indeterminate form

Mathematics
  • Suppose that f(x) → 0 and g(x) → 0 as xa. Then the limit of the quotient f(x)/g(x) as xa is said to give an indeterminate form, sometimes denoted by 0/0. It may be that a specific limit f(x)/g(x) can nevertheless be found by some method such as L’Hôpital’s rule.

    Other indeterminate forms are ∞/∞, ∞ – ∞, 0×∞, 00, 1, ∞0. In general, these forms cannot be given definite values but in some contexts have an understood value; for example setting x = 0 in the polynomial f(x)=0nakxk to give f(0) = a0 assigns 00 the value 1.


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