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| Math Central | Quandaries & Queries |
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Question from Russell, a student: find the following limit lim x((e^1/x) -1) as x --> infinity |
Russell,
If you rewrite
x (e1/x - 1)
as
(e1/x - 1)/(1/x)
then both the numerator and denominator approach zero as x approaches infinity. Hence it is a candidate for l'Hospoial's rule.
Penny
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