Asked by Kerbogha

What is the maximum possible error generated in using the 5th degree Maclaurin polynomial for sin(x) for x in the interval [−0.3, 0.3]?

a). The absolute value of 0.3 raised to the 7th power over 6 factorial
b). The absolute value of 0.3 raised to the 6th power over 6 factorial
c). The value cannot be determined.
d). There is no error. The value will be exact.
Answered by oobleck
take a look at Lagrange's formula, and it should be clear.
Answered by Kerbogha
Can you please take me through it? I'm having trouble plugging the values into the formula.

|En(x)| ≤ M/(n+1)! * |x - a|^(n+1)

Please! I don't know what x, a, or M are.
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