Let A be the series$\sum\limits_{n = 1}^\infty {\frac{{{{\left( { - 1} \right)}^n}}}{{\log \left( {n + 2} \right)}}} $and B be the series$\sum\limits_{n = 2}^\infty {{{\left( {\frac{{\left( {3n - 4} \right)}}{{\left( {3k + 2} \right)}}} \right)}^{\frac{{\left( {n + 1} \right)}}{3}}}} $for real numbers. Then which of the following is true.

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NA

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Both the series A and B are divergent

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Both the series A and B are convergent

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Series A is convergent and series B is divergent

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Series A is conditionally convergent and series B is divergent

1.	Let A be the series\(\sum\limits_{n = 1}^\infty {\frac{{{{\left( { - 1} \right)}^n}}}{{\log \left( {n + 2} \right)}}} \)and B be the series\(\sum\limits_{n = 2}^\infty {{{\left( {\frac{{\left( {3n - 4} \right)}}{{\left( {3k + 2} \right)}}} \right)}^{\frac{{\left( {n + 1} \right)}}{3}}}} \)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» E.

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