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Find the least integer n such that f(x) is O(x^(n)) for each of these functions. a) f(x)=2x^(3)+x^(2)logx b) f(x)=3x^(3)+(logx)^(4) c) f(x)=(x^(4)+x^(2)+1)/(x^(3)+1) d)
Find the least integer
n
such that
f(x)
is
O(x^(n))
for each of\ these functions.\ a)
f(x)=2x^(3)+x^(2)logx
\ b)
f(x)=3x^(3)+(logx)^(4)
\ c)
f(x)=(x^(4)+x^(2)+1)/(x^(3)+1)
\ d)
f(x)=(x^(4)+5logx)/(x^(4)+1)
Find the least integer
n
such that
f(x)
is
O(x^(n))
for each of\ these functions.\ a)
f(x)=2x^(3)+x^(2)logx
\ b)
f(x)=3x^(3)+(logx)^(4)
\ c)
f(x)=(x^(4)+x^(2)+1)/(x^(3)+1)
\ d)
f(x)=(x^(4)+5logx)/(x^(4)+1)
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