Comparison Tests [ Direct and Limit]

In this video, I showed how to use both direct comparison test and Limit test . I also explained the necessary conditions for each test to be valid.

[@jeffaragon444]

I'm just curious about the 2^x at the 8:30 mark. Where did that go when you computed the final form of the derivative?

[@PrimeNewtons]

Thank you. It was an error. I noticed after uploading. It was too late. I didn't take it down because it didn't affect the conclusion.

[@jeffaragon444]

@@PrimeNewtons lol I realized this after as well. It doesn't change anything. Thank you Newton, I always learn something from your videos. You're very generous with your time and your passion comes through

[@youssefnidhsain4082]

love the videos

[@rev64823]

Thank you

[@BUBOY_UNDER_PANTS]

Keep it up!!!

[@kingbeauregard]

There's some sort of test, too, where you divide term "n+1" by term "n", and if that ratio doesn't go to zero, then the series does not converge, right? Or Does that apply only in a limited number of cases? I have only a dim memory of this so I am probably forgetting some important details.

[@PrimeNewtons]

Ratio test. Useful when the terms involve FACTORIALS.