Limit of a sequence

Limit of a sequence. We us the handy strategy of re-writing the limit in a more convenient way that does not change it's value. And by using the conjugate of the expression, we are able so simplify. Alternately we can apply the direct comparison test. 1/n is a sequence that we know converges, so we compare our sequence to it. After some algebra, we can see that the inequality will hold.