you can change the (n/(n+1)) to ((n/n)/((n/n)+(1/n))) by dividing each individual term by the limit variable, then it simplifies to (1/(1+(1/∞))) and since (1/∞) is such a small number, it rounds to 0, so you get Limit (n->∞) (1/(1+0))=1. Gotta love calculus :)