If is smooth enough in a neighborhood of, then the Taylor polynomial of degree n for at approximates with error_________.

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If<br><img src='https://www.fatskills.com/images2/GradExams/9A38715C-7652-4F55-8DDC-1FE481D437D8.png' height='20' width='35'/> is smooth enough in a neighborhood of<br><img src='https://www.fatskills.com/images2/GradExams/1B8C01B4-E7EC-4328-A95B-733942B3FDC9.png' height='13' width='18'/>, then the Taylor polynomial of degree n for<br><img src='https://www.fatskills.com/images2/GradExams/EEED0CD3-0C3D-4307-8897-9C4210978E54.png' height='18' width='10'/> at<br><img src='https://www.fatskills.com/images2/GradExams/1B8C01B4-E7EC-4328-A95B-733942B3FDC9.png' height='13' width='18'/> approximates<br><img src='https://www.fatskills.com/images2/GradExams/9A38715C-7652-4F55-8DDC-1FE481D437D8.png' height='20' width='35'/> with error_________.