Question: The fourth order Maclaurin polynomial for sin x is really of third degree since the coefficient of x4 is 0. Thus, Sin x = x

The fourth order Maclaurin polynomial for sin x is really of third degree since the coefficient of x4 is 0. Thus,
Sin x = x - x3 / 6 + R4(x)
Show that if 0 ( x ( 0.5, | R4(x) | ( 0.0002605. Use this result to approximate

And give a bound for the error?

0.5 sin x dx

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