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## Homework Statement

An = (n+3)^1/(n+3)

Converge or diverges? Find the limit of the convergent sequences.

## Homework Equations

## The Attempt at a Solution

I have the solution but I don't understand it. I'm looking to get it.

It shows me taking the limit as x->infinity of x^1/x and determine that it is 1. (Thus the series converges). I am not sure at all how to find the limits though, I'm lost in my calculus class. Any guidance would be great.