How do I check the series $\sum_{n=2}^{\infty} \frac{(-1)^n }{n+(-1)^n}$ for absolute convergence/conditional convergence?
How do I check the series $\sum_{n=2}^{\infty} \frac{(-1)^n }{n+(-1)^n}$ for absolute convergence/conditional convergence ?
How can I solve this problem?
hint
for $n\geq 2$,
$$|\frac {(-1)^n}{n+(-1)^n}|=\frac {1}{n+(-1)^n} $$
$$\geq \frac {1}{n+1}$$
thus id doesn't converge absolutely.