18. Use a Taylor series to approximate ·√√² e- -2x² dx. Retain as many terms as needed to ensure the error is less than 10-5. You can use that e (−1)k 2k ²k. -2x² Σ k! k=0

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Chapter1: Functions And Models
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18. Use a Taylor series to approximate
is less than 10-5. You can use that e
e
-2x²
dx. Retain as many terms as needed to ensure the error
-2x²
∞
-Σ
k=0
(-1)k2k
k!
-x²k
Transcribed Image Text:18. Use a Taylor series to approximate is less than 10-5. You can use that e e -2x² dx. Retain as many terms as needed to ensure the error -2x² ∞ -Σ k=0 (-1)k2k k! -x²k
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