David S.

asked • 05/08/20

Plese help, I am stuck...

Which of the following shows that f(x) grows faster than g(x)?


Options:

1)  the limit as x goes to infinity of the quotient of f of x and g of x equals 1000

2)  the limit as x goes to infinity of the quotient of f of x and g of x equals 0

3)  the limit as x goes to infinity of the quotient of f of x and g of x equals infinity

4)  None of these


1 Expert Answer

By:

Peter M. answered • 05/09/20

Tutor
New to Wyzant

Experienced math tutor

See tutors like this
See tutors like this

option 3 does for sure - f increases infinitely faster than g

option 2 does not - g increases faster than x

option 1 - I would say that this does not, since the rate of increase of f relative to g is a constant

Upvote • 0 Downvote
More
Report

Stanton D.

Technically, option 3 should be stated that the limit of the quotient goes to infinity, not equals infinity; same for option 2 (goes to zero)? But otherwise agree.
Report

05/09/20

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.