CPM Homework Help : APCALC Problem 11-96

Multiple Choice: Which of the series below converge?

$\displaystyle\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { n + 2 }$

Hint (I):

This is an alternating harmonic series.

Hint (II):

Think of this as $n!/e^{n}$ . But $n! > e^n$ .

Hint (III):

This is the same as $3n(–1)^n$ .