Determine all values of p for which the series is convergent, and express answer in interval notation.
How would I find the values of p that makes this series a convergent one. It appears to be an alternating series, so would I just focus on ?
I am just not quite sure how to go about this problem. Could I used the ratio test or anything else?
Any feedback and help appreciated, thanks.
However, there is also the rule that the series has to be decreasing for it to be convergent in a alternating series. So, would the value of p affect the rule of decrease? That is what I am stuck on. If not, then clearly the interval notation for the value of p that makes this series converge is [o to infinity).