Indeterminate Expression
An undefined expression which
can have a value if arrived at as a limit.
Note: Another way to
think about indeterminate expressions is to see them as a disagreement between two rules for simplifying an expression. For example, one way to think about is
this: The 0 in the numerator makes the fraction "equal" 0,
but the 0 in the denominator makes the fraction "equal" ±∞.
This conflict makes the expression indeterminate.
Common indeterminate expressions:
00 1∞ ∞0 ∞ – ∞
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Example:
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The limit

seems to evaluate to , which is indeterminate. In fact,
since sin x and x are approximately equal to each other for values of x near 0.
Note that this limit can also be computed using lHôpitals rule. |
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