For the series ∑n=1∞an\sum_{n=1}^{\infty} a_n∑n=1∞an where an=(1−cos(1/n))pa_n = (1 - \cos(1/n))^pan=(1−cos(1/n))p, for which ppp does it converge?
p>1/2p > 1/2p>1/2
p>1p > 1p>1
p>2p > 2p>2
p>1/4p > 1/4p>1/4