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OpenStudy (anonymous):
@Michele_Laino
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OpenStudy (anonymous):
@Michele_Laino
OpenStudy (michele_laino):
I think the linear function, because the linear function is an infinity weaker than exponential function and weaker than power function
OpenStudy (anonymous):
wait which one?
OpenStudy (anonymous):
5x?
OpenStudy (michele_laino):
yes! In general I call linear function a function like this:
f(x)=a*x+b
and y=5*x is a linear function with b=0
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OpenStudy (michele_laino):
we can exclude sin(x) and log(x), because:
\[\log(x)\le x, \forall x \ge 1\]
furthermore we have:
\[-1\le \sin x \le 1\]
OpenStudy (anonymous):
so is it A or D?
OpenStudy (anonymous):
sorry i have to do this really quick
OpenStudy (michele_laino):
please, evalute this limit below:
\[\lim _{x \rightarrow + \infty}\frac{ x ^{20} }{ 2^{x} }=...\]
OpenStudy (anonymous):
x^20
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OpenStudy (michele_laino):
no is 0, (you have to use the De L'Hopital rule).
So x^20 is an infinity weaker than 2^x, and then 2^x increase faster than other function
OpenStudy (anonymous):
so the answe is 2^x
OpenStudy (michele_laino):
yes!
OpenStudy (michele_laino):
it is the same as before, whit 2^x and 20^x
in which f(x)=x^20, and g(x)=2^x
so?
OpenStudy (anonymous):
is it B
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OpenStudy (michele_laino):
no, sorry!
OpenStudy (anonymous):
oh
OpenStudy (anonymous):
its not D
OpenStudy (michele_laino):
yes! it is not D
OpenStudy (anonymous):
it is C!
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OpenStudy (michele_laino):
no, sorry!
OpenStudy (anonymous):
ok then A hhahahah
OpenStudy (michele_laino):
ok!
OpenStudy (anonymous):
ok then A hhahahah
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