I know all the series tests for convergences for my calc 2 class. However, there is another technique that involves finding Partial sums to find a general Sn. so, if we find the limit of Sn, it will dictate whether the series diverge or converges

for example, ln(1+1/n) involves this technique...

my question is what is the biggest hint that a series would require this method or recognizing to use this technique (for any exam)

im afraid i would just waste time on using these series test...