Find the limit if it exists: lim x->infinity [1+(1/2x)]^3x

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Find the limit if it exists: lim x->infinity [1+(1/2x)]^3x

Mathematics
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as x goes towards infinity the 1/2x part of the term becomes insignificant since it is practically 0
that means the term can be reduced to 1^3x
do you have to find the second derivative? Possibly using the l'hospital's rule?

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Other answers:

you now have an exponential term, so as x reaches infinity, the number approaches infinity. so the limit is infinity (or does not exist)
it'll be like 1^3*1, then 1^3*1000....the number just goes on forever with no limit
i see. thanks
no problem

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