DON'T use Root Test

Here is an example of a series for which the root test doesn't apply! Which series test to use then? Hmmm, watch this video to find out!

[guill]

One question: What is known about the transcendence of the value of the sum from 1 to inf of 1/(2^n-1) or the value of the sum from 0 to inf of 1/(2^n+3^n)? Does these converge to transcendental numbers?

[bprpfast]

Why did you do this to my Root Test?!!!

[utilizator]

I have done this series by splitting into 2 series, one for odd N, the other one for even N. I have observed that one series is convergent, but another one is divergent. So I had convergent + divergent = divergent, so the initial series is divergent.

[رضاشریعت]

In calc 2 i was dealing with some nastly series and it took me a lot of failed attemts, i checked to see whether or not as n becomes large enough, An approaches zero

which it didn't and i concluded that the series diverges

Since then i always check this and then try other tests

[رشاداليامي]

A good notice, its benefit for students or Interested in mathematics .... Thank u doctor for your giving

[shivaudaiyar]

Thanks for such a great content with love from India

[umerfarooq]

It took a while until I realized it was Limsup not limp soup

[NuptialFailures]

My new favourite game! Thanks for another gem Peyam!

[lacasadeacero]

When R Is 1 the test doesn't conclude.