- #1
vande060
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Homework Statement
I have to approximate sin(1/2) with the taylor inequality
Homework Equations
taylors inequality |Rn(x)| ≤ M/(n+1)! | x-a|n+1
The Attempt at a Solution
Im not really sure what the significance of this is, but ill do the derivatives
f(x) = sin(x)
f'(x) = cos(x)
f''(x) = -sin(x)
f'''(x) = -cos(x)
f''''(x) = sin(x)
then ill plug in n and a for taylors inequality
|R5(x)| ≤ M/(6)! | x|6
not sure what to do next, although I have to incorporate the 1/2 somewhere,maybe for x, but then what is M? and I am not sure what the derivatives are used for