5. Determine if the series diverges, converges conditionally, or converges absolutely. State which test(s) you use. $$sum_{n=0}^{infty} frac{cos(npi)}{n+1}$$ 6. Find the interval of convergence of the power series $sum_{n=1}^{infty} frac{(-3)^n x^n}{sqrt{n+1}}$.
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**Step 1:** The series given is: \[ \sum_{n=0}^{\infty} \frac{(-1)^n}{n+1} \] **Step 2:** To determine if the series converges conditionally or absolutely, we need to analyze two separate series: Show more…
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