Question

To show that g(x) grows slower than f(x), what is the result of the limit as x goes to infinity of the quotient of g of x and f of x?

Answer 1

https://i.gyazo.com/bc8a449316ab5d6a75df6131e1d5bfc4.png

Answer 2

@freckles @jim_thompson5910 0?

Answer 3

f(x) reaches a large number such as 1000000 so it'll be lik 1/10000000 which is nearly equal to 0

Answer 4

yes, you are correct. f(x) grows faster, so you'll have a sequence like

1/1, 2/3, 3/5, ...., 99/1000, ...., 999/100000, .... 9999/10000000, ...

so eventually things get so small that g/f approaches 0

Answer 5

Thanks

Answer 6

np