What method of series convergence test is the correct test?

There are 4 different types of series to be aware of: geometric, p-series, alternating, and series greater than 0.If the limit of the series is a non-zero value then the series divergesIf the series is geometric apply the geometric test where r is the common ratioIf the series is a p-series test apply the p-testIf all components of the series greater than 0 then:if you replace each n in the series with an x, and can integrate the series, apply the integral test.If there is a sequence where the components are always smaller or greater than a sequence c_n then apply the comparison testIf all past tests fail, use the ratio test.If the series is an alternating series, use the alternating series test.