Alternating Series Test, Calculus 2

[@02_aldebaranrahmanadhitya95]

Timestanps Question 1: 0:01 Question 2: 3:47 Question 3: 6:22 Question 4: 10:40

[@bprpcalculusbasics]

Thank you so much!

[@ThePowerfulOne07]

Thank you for videos lately. Sequences and series were a struggle for me. Idk why 😅😅😅. The memories!

[@Simeulf]

Wouldn't the harmonic series pass both those tests and be deemed to be convergent? Is it a requirment that the terms are alternating? Probably, but how come, is it by definition? Something I am not getting here. Happy to get an explanation :)

[@Jedwint]

🔥these vids are gonna make me an academic weapon

[@ahmedaltunkaya3108]

Thank you!

[@anuragguptamr.i.i.t.2329]

Sir, why did you not solve the question 2 by AST?

[@sabbirrahaman1430]

sir, i have a calculus problem, can you please help me to solve this question? And How do I send the question to you?

[@YoungPhysicistsClub1729]

cant we say that question no 2 diverges since it fails AST as lim as n -> infinity is 1/3 which is not 0?

[@robertchai2338]

For q2, can we say that it diverges since limit of b_n = (n + 1)/(3n + 2) as n approaches infinity ≠ 0 by Alternating Series Test?

[@cristobalmoragac5574]

No, this renders the use of the AST ineffective because often criterion number 1 is not met. In that case, you will need to resort to other convergence or divergence tests (like the "divergence test" that bprp used for q2). Greetings from Chile!