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 Math Central Quandaries & Queries
 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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