Question
Use the Limit Comparison Test to determine the convergence or divergence of the series.$$\sum_{n=1}^{\infty} \frac{n+3}{n(n+2)}$$
Step 1
Step 1: First, we define our series $a_n$ and $b_n$ as follows: $$a_n = \frac{n+3}{n(n+2)}$$ $$b_n = \frac{1}{n}$$ Show more…
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