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!

Since the limit is $1$ the terms aren't getting close to $\pi$. I think the question wanted to check if you know the fact that if a sequence converges to a number, then the terms can't get close to a different number; in other words, the limit is unique, if it exists.
