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Mathematics 14 Online
OpenStudy (anonymous):

@Michele_Laino

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

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

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

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!

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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