Question

How do you use a graphing calculator to find the limit of the sequence `a_n=n^2/(n+1)`?

Answer 1

the limit of the sequence is `lim_(nrarroo)(n^2/(n+1))` or the value `n^2/(n+1)` as `n` gets really large.

type the function `y = n^2/(n+1)` into your calculator (you can replace `n` with `x`)

graph the function on a large window. if the graph approaches a y-value when `x` is very large, that value is your limit. otherwise, the limit is `oo` or `-oo`.

since this graph has a continuously increasing y-value for large x values, the limit of the sequence `a_n=n^2/(n+1)` is `oo`.