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10.3 Taylor Series Error
Dan Jones
2018-12-06T20:47:58-05:00
10.3 Taylor Series Error
Find the 6th degree approximation for cos(1) centered at x = 0 and compute the error of the estimate
Find the 5th degree approximation for ln(1.5) and compute the error of the estimate.
Given g^(n) (3)=(-2/3)^n find the T3(x) Taylor approximation centered at x = 3.
Use the T3(x) found above to approximate g(3.2) and compute the error of the estimate, if possible.
Find the approximation of the T4(x) Taylor polynomial centered at x = 0 for 1/e and then find the error.
Using the approximation of the T4(x) Taylor polynomial centered at x = 0 for 1/e, how many terms would be necessary so that the error is within 0.0001
Find the P4 Taylor series for f(x) centered at x = 0 if f(x) = sqrt(x + 1)
Find approximation at x = -½ and compute the error.
Find the P4 Taylor series for g(x) centered at x = 1 if g(x) = ln(x)
Find approximation at x = ½ and compute the error.
Use the first 5 terms of the Maclaurin series for e^x. Use it to find an approximation for e and the error!
Given
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