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- Dec 13th 2005, 11:51 AMbobby77limits- please help its very urgent...
please see the attatchment

- Dec 13th 2005, 01:51 PMmathproblem
As x gets indefinetly large 1/x will get closer and closer to zero and any non zero real number rasied to the zero power yeilds one so the lim as x-->infinity of (x)^(1/x) = 1

- Dec 13th 2005, 01:51 PMCaptainBlackQuote:

Originally Posted by**bobby77**

with a choice of answers

Consider:

,

which is equal to:

.

Now if you know that grows more slowly than any

positive power of you are done, as:

,

and so:

.

If you don't know that grows more slowly than any

positive power of , then you can get the same result by a slightly

convoluted application of L'Hopital rule.

RonL - Dec 13th 2005, 01:56 PMCaptainBlackQuote:

Originally Posted by**mathproblem**

RonL