Of course, convergence of a series IS convergence of a sequence: the sequence of its partial sums. The problem is that, very often, this limit is difficult to find directly. But the last example in the video is one where that limit (of the sequence of partial sums: 3, 9, 15, 15, 15...) IS easy to find.
I'm sure I once heard a tutor say a sequence "converged" to ∞. Maybe his logic was that he was differentiating between diverging to a singular infinite value versus oscillating between multiple potential limits without getting closer to a single one. Well, however you say it, it's always the same "for all A>0 etc." definition used. Though, for safety, one could say "does it converge to a real number" to make sure to exclude non-real extended real values.
*Timestamp*
Q.1 - 0:14
Q.2 - 4:05
Q.3 - 7:47
Q.4 - 10:27
Q.5 - 13:28
Q.6 - 14:38
Q.7 - 17:44
Q.8 - 19:48
Thank you ✨
Thank you!
Welcome Master ✨
Timestamps:
Q1 0:13
Q2 4:03
Q3 7:46
Q4 10:25
Q5 13:26
Q6 14:36
Q7 17:43
Q8 19:47
Thank you!
Could anyone please make the timestamp?
In the format of
Q3 time
Thank you.
Certainly. Glad to contribute.
Q1 0:12
Q2 4:03
Q3 7:47
Q4 10:24
Q5 13:26
Q6 14:36
Q7 17:43
Q8 19:46
Q1-0:06
Q2-4:04
Q3-7:47
Q4-10:25
Q5-13:27
Q6-14:37
Q7-17:43
Q8-19:47
Time stamps...
Yes, I made it. Sorry Master if there's any mistake.
Sure thing!
Q1 0:00
Q2 4:04
Q3 7:46
Q4 10:26
Q5 13:27
Q6 14:37
Q7 17:44
Q8 19:48
Thank you!
Of course, convergence of a series IS convergence of a sequence: the sequence of its partial sums. The problem is that, very often, this limit is difficult to find directly. But the last example in the video is one where that limit (of the sequence of partial sums: 3, 9, 15, 15, 15...) IS easy to find.
Q1-0:06
Q2-4:04
Q3-7:47
Q4-10:25
Q5-13:27
Q6-14:37
Q7-17:43
Q8-19:47
Time stamps...
Thank you!
@@bprpcalculusbasics you are welcome sir 😁
I'm sure I once heard a tutor say a sequence "converged" to ∞. Maybe his logic was that he was differentiating between diverging to a singular infinite value versus oscillating between multiple potential limits without getting closer to a single one.
Well, however you say it, it's always the same "for all A>0 etc." definition used. Though, for safety, one could say "does it converge to a real number" to make sure to exclude non-real extended real values.
I remember learning converge to mean you get a single finite value
Video on the description proving harmonic series?
Opps, I just added it. It's here: th-cam.com/video/24GUq25t2ts/w-d-xo.htmlsi=Vf99uSvkXndTJVOR
Thanks!
Timestamps:
Q1 0:00
Q2 4:04
Q3 7:46
Q4 10:26
Q5 13:27
Q6 14:37
Q7 17:44
Q8 19:48
Thank you!