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For fixed,, and finite difference formula, there is an that minimizes the error in the computed approximation to. Why?

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For fixed<br><img src='https://www.fatskills.com/images2/GradExams/EEED0CD3-0C3D-4307-8897-9C4210978E54.png' height='18' width='10'/>,<br><img src='https://www.fatskills.com/images2/GradExams/1B8C01B4-E7EC-4328-A95B-733942B3FDC9.png' height='13' width='18'/>, and finite difference formula, there is an<br><img src='https://www.fatskills.com/images2/GradExams/F082EF23-34BE-4054-8D9A-704143BD4161.png' height='15' width='45'/> that minimizes the error in the computed approximation to<br><img src='https://www.fatskills.com/images2/GradExams/AF8D9358-1F81-4406-A0A3-9A2FB1C3A9CB.png' height='21' width='48'/>. Why?






 
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