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Unit 10

10.10 Alternating Series Error Bound

1 min readโ€ขjune 8, 2020

peter-cao

Peter Cao


AP Calculus AB/BCย โ™พ๏ธ

Bookmarkedย 7.1kย โ€ขย 259ย resources
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https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(565).png?alt=media&token=41ecd53c-88ab-4539-ac6c-6b84a394bde4
We sometimes want to find the exact value of an infinite series, but, usually doing this is very difficult and time-consuming. However, with only a few terms, we can get a good approximation of the value of the series, and the maximum error is the error bound.

How do we find the error bound?

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(790).png?alt=media&token=de58a264-fd7b-4afa-bd9e-8d406f2093a1
https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(791).png?alt=media&token=42797872-3b10-4c87-ad67-8b6f2e4e7f6c

Problems

1. What is the formula for the error bound?
https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(792).png?alt=media&token=eba58a92-ca13-4b33-b1a2-ff530b979791

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