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anonymous

  • one year ago

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

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  1. SolomonZelman
    • one year ago
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    your opinion?

  2. anonymous
    • one year ago
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    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

  3. anonymous
    • one year ago
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    so i know its not A , and probably not D

  4. SolomonZelman
    • one year ago
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    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....

  5. SolomonZelman
    • one year ago
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    So it is definitely not B.

  6. SolomonZelman
    • one year ago
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    right, or disagree ?

  7. anonymous
    • one year ago
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    i see your logic , i totally agree :D

  8. SolomonZelman
    • one year ago
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    ok, good

  9. anonymous
    • one year ago
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    thanks for the help !

  10. SolomonZelman
    • one year ago
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    are we done?

  11. anonymous
    • one year ago
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    yep , its clearly C

  12. SolomonZelman
    • one year ago
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    Good!!

  13. SolomonZelman
    • one year ago
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    \(\large\displaystyle \lim_{ x~\rightarrow \infty}~(~f(x)~/~g(x)~)=\infty\)

  14. SolomonZelman
    • one year ago
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    yw

  15. anonymous
    • one year ago
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    :D

  16. SolomonZelman
    • one year ago
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    Have you done LHospitals rule yet? just curious...

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