Thread: [SOLVED] Series (p-series)

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.

ok..so.. what test should i use to know whethere it is convergence or divergence?

Originally Posted by nameck

if my an = 1 / (n+1)^2
can i use p series test to confirm that the series will converge..where p = 2..

Originally Posted by osolage

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)

Well of course it works. One just has to understand the process.

The series on the right is a convergent p-series.

Of notice that use comparison test.

deleted mssg