anonymous
  • anonymous
Which of the following shows that f(x) grows faster than g(x)? the limit as x goes to infinity of f(x)/g(x) = 1000 the limit as x goes to infinity of f(x)/g(x) = 0 the limit as x goes to infinity of f(x)/g(x) = infinity None of these
Mathematics
schrodinger
  • schrodinger
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SolomonZelman
  • SolomonZelman
your opinion?
anonymous
  • anonymous
i dot quite recall the rule, i think it was something like if they equal a finite non zero number they grow at the same rate but i don't remember what infinity and zero ment
anonymous
  • anonymous
so i know its not A , and probably not D

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SolomonZelman
  • SolomonZelman
lets think of this logically. if \(\large\displaystyle \lim_{ x~\rightarrow \infty}~(~f(x)~/~g(x)~)=0\) then g(x) is growing faster and that is why when you divide f(x) by g(x) you get zero because g(x) is being larger and larger....
SolomonZelman
  • SolomonZelman
So it is definitely not B.
SolomonZelman
  • SolomonZelman
right, or disagree ?
anonymous
  • anonymous
i see your logic , i totally agree :D
SolomonZelman
  • SolomonZelman
ok, good
anonymous
  • anonymous
thanks for the help !
SolomonZelman
  • SolomonZelman
are we done?
anonymous
  • anonymous
yep , its clearly C
SolomonZelman
  • SolomonZelman
Good!!
SolomonZelman
  • SolomonZelman
\(\large\displaystyle \lim_{ x~\rightarrow \infty}~(~f(x)~/~g(x)~)=\infty\)
SolomonZelman
  • SolomonZelman
yw
anonymous
  • anonymous
:D
SolomonZelman
  • SolomonZelman
Have you done LHospitals rule yet? just curious...

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