1. The special name given to the series n=1∑∞n1 is the harmonic series. 2. The sum of the geometric series n=0∑∞arn is 1−ra for all r∈R. 3. If n→∞liman does not exist or if n→∞liman=0, then the series n=1∑∞an is divergent. 4. A series n=1∑∞an is absolutely convergent if the series of absolute values n=1∑∞∣an∣ is convergent.
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!