Which series convergence test do I use? (TFD, P-Series, Telescoping, DCT, LCT, AST, Ratio, & more)
ฝัง
- เผยแพร่เมื่อ 27 มิ.ย. 2024
- So which series convergence test do I use when seeing a random infinite series on a Calculus 2 exam? We will focus on selecting an appropriate convergence test for the series. You will need to know the following 1. Test for Divergence 2. Geometric Series
3. Telescoping Series 4. P-Series 5. Integral Test 6. Direct Comparison Test 7. Limit Comparison Test 8. Alternating Series Test 9. Ratio Test 10. Root Test 11. absolute convergence test
Get the file here 👉 / 103064269
Get the notes & the full solution here 👉 / 102751085
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#calculus #bprpcalculus #apcalculus #tutorial #math
Thanks to @02_aldebaranrahmanadhitya95 for the timestamps
0:00 What series convergence test do I use?
Question 1: 0:24
Question 2: 1:37
Question 3: 2:50
Question 4: 4:00
Question 5: 4:38
Question 6: 5:00
Question 7: 6:16
Question 8: 7:00
Question 9: 8:29
Question 10: 9:17
Question 11: 10:21
Question 12: 11:49
Question 13: 13:15
Question 14: 14:36
Question 15: 16:03
Question 16: 18:09
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Timestamps
Question 1: 0:24
Question 2: 1:37
Question 3: 2:50
Question 4: 4:00
Question 5: 4:38
Question 6: 5:00
Question 7: 6:16
Question 8: 7:00
Question 9: 8:29
Question 10: 9:17
Question 11: 10:21
Question 12: 11:49
Question 13: 13:15
Question 14: 14:36
Question 15: 16:03
Question 16: 18:09
Thank you!!!
I had this doubt on which series test to use at morning and your video came just in time :)
Correct me if I am wrong but doesn't the first part (lim as n->inf of bn = 0) already guarantee the second part? at 8:05
You can have something like (1+(-1)^n)/n which approaches 0 but not decreasing. It goes up and down to 0.
@@bprpcalculusbasics I don’t think this alternates
@@TheMasterGreen that was for the bn part. So consider the series of (-1)^n*(1+(-1)^n)/n
Number 15 you can use The Fact, right?
Correct!
I couldn't figure out 15 - What's The Fact?
@@vinuthomas7193 (1 + a/n)^bn = e^ab
@@vinuthomas7193 Ele está se referindo à variação do limite fundamental cujo resultado dá o número de Euler.
Hey, I have not seen you for a while. I can't pay for the tuition fees about it. I hope you can help me about this question. Question: Give 3 part formula for the area f(t) under v(t)
what tests should I do on trig infinite series
like series n = 1 to ∞ (cos ^ (n-1) x
If x does not make cos(x)=±1, then the sum of cos^(n-1)(x) is geometric.