Find the limit of (lnx)³/x as x approaches infinity.
now when i take an arbitrary very big num...
Mathematics, 31.01.2020 14:00 arunamvr
Find the limit of (lnx)³/x as x approaches infinity.
now when i take an arbitrary very big number and try calculating the limit with a calculator, it gives 0.
on the other hand i thought about this:
g(x)=x³
lim(x goes to + inf) g(x)=+inf
lim(x goes to +inf) g(x)/x = +inf
lim(x goes to +inf) lnx=+inf
then
lim(x goes to +inf) g(lnx)/x=+inf
which is obviously
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