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.
I came to this same conclusion. Since it is an alternating series, I took the limit of bn and found that it was converging.
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).