- #1

- 53

- 0

## Main Question or Discussion Point

I'm helping a few people out with school maths and I came across this limit (in connection with the Ratio Test):

[tex] \lim_{n \to \infty}\left(\frac{n}{n+1}\right)^n [/tex]

now I can figure out the answer to this myself using l'Hôpital's Rule but the student's I'm teaching wouldn't have come across it yet, so it's either a misprint in their book - or there's a simple way of figuring it out which I can't see. Anyone have any ideas?

[tex] \lim_{n \to \infty}\left(\frac{n}{n+1}\right)^n [/tex]

now I can figure out the answer to this myself using l'Hôpital's Rule but the student's I'm teaching wouldn't have come across it yet, so it's either a misprint in their book - or there's a simple way of figuring it out which I can't see. Anyone have any ideas?