Question

How do you work out lim (n/n+1) as n goes to infinity? I think it's supposed to be 1.

Answer 1

1/(1+1/n)->1

Answer 2

Yes indeed :)

Answer 3

@kmccullo Have you learnt derivatives yet?

Answer 4

numerator and denominator have same degree (they are both 1) so it is the ratio of the leading coefficients which in this case is \(\frac{1}{1}=1\)

Answer 5

Got it! Divided numerator and denominator by 1/n! Thanks!

Answer 6

no need for calculus, although you can use it
imagine if you will \(n=1000000\) then you get \(\frac{1000000}{1000001}\) which is pretty close to 1

Answer 7

Generally when you encounter a limit in exam that you aren't sure of, simply plug numbers in your calculator to verify your answer :)