Thanks i realised i actually had this test all wrong... so can i for example take a series like
a = 1/ root(3r)
Can i use a p-series like 1/r^(1/3) ie 1/cuberoot(r) (call this b)
which is divergent according to the p-series since p<1.
And then I can deduce that since 0 < b < a and b is divergent, series a is divergent?
Another question i had ( maybe the textbook is still going to explain..) is the scalar multiple of a divergent series, divergent , and convergent series, covergent? I think it is, because i guess a scalar multpile of it would be a subset of it.. am i right?