Topic: Engineering Mathematics
Let A be the series $\sum_{n=1}^{\infty}\frac{(-1)^{n}}{\log(n+2)}$ and B be the series $\sum_{n=2}^{\infty}\left(\frac{3n-4}{3n+2}\right)^{\frac{n+1}{3}}$ for real numbers. Then which of the following is true
- A. Both the series A and B are divergent
- B. Both the series A and B are convergent
- C. Series A is convergent and series B is divergent
- D. Series A is conditionally convergent and series B is divergent
Answer: D. Series A is conditionally convergent and series B is divergent
Explanation: Based on the official answer key, the correct option is (d). No detailed mathematical derivation is provided in the reference.