6. Let Pn(x) be the nth-order Taylor Polynomials for f(x) = sin(x) about x = 0. Find n so that P(x) is within 10-5 of sin(x) for all x E 0, (Hint: Unlike et, the derivatives of the sine function aren't all the same. But you can still do some error-bounding if you think carefully.) Final Answer: n = 10 16 .
6. Let Pn(x) be the nth-order Taylor Polynomials for f(x) = sin(x) about x = 0. Find n so that P(x) is within 10-5 of sin(x) for all x E 0, (Hint: Unlike et, the derivatives of the sine function aren't all the same. But you can still do some error-bounding if you think carefully.) Final Answer: n = 10 16 .
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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