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
You are asking - what is: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