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Activity 8.4.3.
Which series converge and which diverge? Justify your answers.
(a)
\(\displaystyle\sum_{k=1}^{\infty} \frac{(-1)^k}{k^2+2}\)
(b)
\(\displaystyle\sum_{k=1}^{\infty} \frac{(-1)^{k+1}2k}{k+5}\)
(c)
\(\displaystyle\sum_{k=2}^{\infty} \frac{(-1)^{k}}{\ln(k)}\)
