emergency plsss what is the rank of using series theorems

[boroborox]

so guys which one is used first which one second which one is third.....for example:1/n^(3/4) if i solve this by using p theorem it is diverges but if i use limit comparasion test it is converges

 

[HallsofIvy]

so guys which one is used first which one second which one is third.....for example:1/n^(3/4) if i solve this by using p theorem it is diverges but if i use limit comparasion test it is converges

What did you compare it with? (You seem to be under the impression that one theorem may say a series converges and another that it diverges so you have to be careful which test you use. That is not true- either a series converges or it diverges. If a series converges then any test must show that it converges or give no result.)

 

[pka]

so guys which one is used first which one second which one is third.....for example:1/n^(3/4) if i solve this by using p theorem it is diverges but if i use limit compassion test it is converges

You need to do it again. Using the compassion test it diverges.

Show your work so that we can see your mistake.

 

[boroborox]

You need to do it again. Using the compassion test it diverges.

Show your work so that we can see your mistake.

ok brother thank u so much i saw my mistake....in my question result of limit comparasion test is 0 and i supposed that it means converges but it means it does not definite converges or diverges

 

[boroborox]

What did you compare it with? (You seem to be under the impression that one theorem may say a series converges and another that it diverges so you have to be careful which test you use. That is not true- either a series converges or it diverges. If a series converges then any test must show that it converges or give no result.)

thank u brother i got it