There are two sequences to evaluate:
Sequence A, defined as 1/n, and Sequence B, defined as n/(n+1).
For Sequence A:
Take the limit as 'n' tends to infinity. This means we let 'n' become larger and larger and see what value 1/n approaches.
As 'n' becomes very large, the value of 1/n becomes very small. This happens because you're dividing 1 by a very large number. Hence, the limit of Sequence A as 'n' tends to infinity is 0.
For Sequence B:
Take the limit as 'n' tends to infinity. This means we let 'n' become larger and larger and see what value n/(n+1) approaches.
As 'n' becomes very large, the value of n is significantly larger than 1 to the extent that adding 1 to 'n' is almost negligible. Hence, 'n' divided by 'n' is 1. Therefore the limit of Sequence B as 'n' tends to infinity is 1.
In conclusion, the limit of Sequence A = 1/n as 'n' tends to infinity is 0, and the limit of Sequence B = n/(n+1) as 'n' tends to infinity is 1.