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MATH 122L (23)
Lecture 20

MATH 122L Lecture 20: Taylor Series
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Department
Mathematics
Course
MATH 122L
Professor
Sarah Schott
Semester
Fall

Description
O Series aylor nd you tonk e error the ans Wer center a f'lo (X) e t cente x- 2 (x-2 ET ferent COS 0) f "(O)- O R. T Converges tered at Err derivatives divide by zero do O Series aylor nd you tonk e error the ans Wer center a f'lo (X) e t cente x- 2 (x-2 ET ferent COS 0) f "(O)- O R. T Converges tered at Err derivatives divide by zero doTaylor's orem Suppose kave k:N centered 0.00 (20 IU 9xlo O. 2 0,000 Center Maxim em error no relative maxim van Or Taylor's orem Suppose kave k:N centered 0.00 (20 IU 9xlo O. 2 0,000 Center Maxim em error no relative maxim van Orn SECTION 8.7 TAYLOR AND MACLAURIN SERIES 613 Using the binomial scrics with k and with replaced by-n/4, we have We know from (17) that this series convcrges when I /4 l 1, that is. Irl 4. so the radius of convergence is R 4. We collect in the
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