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

Question

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

anonymous · Answer

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

anonymous · Answer

Yes indeed :)

anonymous · Answer

@kmccullo Have you learnt derivatives yet?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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