Question

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

Answer 1

your opinion?

Answer 2

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

Answer 3

so i know its not A , and probably not D

Answer 4

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....

Answer 5

So it is definitely not B.

Answer 6

right, or disagree ?

Answer 7

i see your logic , i totally agree :D

Answer 8

ok, good

Answer 9

thanks for the help !

Answer 10

are we done?

Answer 11

yep , its clearly C

Answer 12

Good!!

Answer 13

\(\large\displaystyle \lim_{ x~\rightarrow \infty}~(~f(x)~/~g(x)~)=\infty\)

Answer 14

yw

Answer 15

:D

Answer 16

Have you done LHospitals rule yet? just curious...