Evaluating this, I get ?-?, but I'm stuck on how to rearrange the equation so that it is ?/? or 0/0 - or even to evaluate the limit without L'Hopital's rule.
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08-11-2008, 03:19 AM #1Junior Member
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Limit as x approaches infinity of xe^(1/x) - x?
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12-05-2008, 03:40 PM #2UnregisteredGuest
Hah, thats the question i got for my calc exam... What i did was...
1) take out the common x... giving you x(e^1/x - 1)
2) take a derivative of the function.... it would give you (e^1/x - 1) + x(1/x)(e^1/x)
3) then you use the limit as x --> infinity... and it gives you 1 -1 + 1 = 1... that should be the solution.
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