Open Question: Maximum absolute value of error using taylor remainder theorem?
The approximation e˜ 1+1+(1/2)+(1/6)= (8/3) is obtained from the first four terms of the Maclaurin
expansion of e^x , x = 1. From the Taylor Remainder Theorem, which of the following is the guaranteed
maximum absolute value of the error, |Rn|, of this approximation (you may take it as known that e = 3).
expansion of e^x , x = 1. From the Taylor Remainder Theorem, which of the following is the guaranteed
maximum absolute value of the error, |Rn|, of this approximation (you may take it as known that e = 3).
a. (1/24)
b. (1/8)
c. (1/6)
d. 0
e. infinity
f. 1
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