Limit of Sequence n/(n+1) One of my homework problems asks, "Are the terms of the sequence n/(n+1) also getting closer and closer to π?" I'm confused because I thought that the limit was 1... Please help!

I've decided to post my comment as an answer.
Technically, it is getting closer to π since it's getting bigger and it is less than π. It's kind of like you're getting closer to the moon or sun as you reach for something on a shelf, though you know you'll never actually reach no matter how far you try to stretch your arms.
