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

idk im srry

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560