Review of Lagrange Error Bound and Alternating Series Error for the BC Calculus Exam

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In this video we review everything you need to know about error for power, Taylor/Maclaurin, and alternating series on the AP Calculus BC exam. We go over a list of problems that have covered the topics of alternating series error bound and Lagrange error bound. Series error scares a lot of people but if you really dig into it it’s not that bad.

[0:41] List of years that feature these topics on the FRQs.
[1:21] What Lagrange error bound questions look like on the exam.
[2:38] What does alternating series error look like on the exam?
[5:00] A convenient absolute value expression for writing up our solutions and recognizing error.
[5:45] How to find alternating series error.
[6:25] How to justify your answers for alternating series error.
[9:00] How to find Lagrange error bound.
[10:14] Talking about how to find M, the maximum of the absolute value of the (n+1)st derivative.
[12:08] How to justify your answers for Lagrange error bound problems.
Link to the AP FRQs:
  1. turksvids
  2. AP Calculus
  3. Calculus BC
  4. Calc BC
  5. Calculus 2
  6. Calculus II
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Комментарии
Автор

The calc BC exam is tomorrow this is the only thing saving me from death. Thank you

JeSuisDFG
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dang the person who took that 2012 test could have gone through graduate school already and be settled down with a job and a wife

aldenmoran
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taking the L's out of lagrange tomorrow for sure

harmanbans
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I have the AP test tomorrow and I have absolutely no idea how to find the first omitted term. The Lagrange error makes perfect sense but that alternating series error bound is going to end me.

griffisme
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when do you know to use the equal to sign or to not use the equal to sign when writing your final answer?

teesuu
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7:25 My calc BC exam is tomorrow (self-study) and I never learned about these errors :( Can someone explain as to why its (1/2)^5 / 7? Why to the power of 5 and where did the number 7 come from?

UniqueNameGuy-dwoy
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today i had the exam and I got a question really similar to this one at 11:50. is it okay if i choose the value less than 40, say uhm 20(from 0 to 1/4)? but it wasn't the max value as you descirbed. it was just a value between 0 and 1/4

mertkangtr
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oh wow just noticed this is exactly 1 month before the day of ap calc bc exam. thanks man lol

blinkbubs