if my an = 1 / (n+1)^2
can i use p series test to confirm that the series will converge..
where p = 2..
no it wont work. the p series test only works when the denominator is n raised to a power 1/n or 1/n^2 or 1/n^(3/2)
even when you indirectly use the p series test with direct comparison or limit comparison an must still be in the form of 1/n
the integral test works the integral 1/(x+1)^2 ,x,0,infinity converges thus the series converges ... the sum however is not found that way.