Question
Use any method to determine whether the series converges.$$\sum_{k=1}^{\infty} \frac{4}{2+3 k k}$$
Step 1
The series is given by $$ \sum_{k=1}^{\infty} \frac{4}{2+3k^2} $$ We can simplify this to $$ \sum_{k=1}^{\infty} \frac{2}{1+\frac{3}{2}k^2} $$ Show more…
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