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.
2 answers
take a look at Lagrange's formula, and it should be clear.
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.
|En(x)| ≤ M/(n+1)! * |x - a|^(n+1)
Please! I don't know what x, a, or M are.
1 answer