Can someone explain to me how to perform series comparison test for convergence using an example of a convergent and a divergent. Can someone explain to me how to perform series comparison test for convergence using an example of a convergent and a divergent. @Mathematics

Question

amistre64 · Answer

if i recall this, if you know a series that is greater in degree than the suspect series converges; then the suspect series converges

amistre64 · Answer

if you know a series of lesser degree diverges, then the suspect series diverges

amistre64 · Answer

i got no idea how to example that tho ;)

anonymous · Answer

;) So if I have something that looks like $$1/4n^2$$ I can compare it to $$1/n^2$$ ?

amistre64 · Answer

you should be able to if you know how 1/4n^2 behaves ...

amistre64 · Answer

1/n^2 is greater than 1/4n^2

so if 1/n^2 converges than 1/4n^2 has to converge

amistre64 · Answer

1/n^2 diverges, and since its greater than 1/4n^2 that would not be adequate to know of 1/4n^2 converges or not