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9 . ( 1 0 points ) Suppose that we want to approximate f ( x ) , with f ( x ) = sin

9.(10 points) Suppose that we want to approximate f
(x), with f(x)= sin(x) and x =\pi /3, so
that f
(x)=0.5.
We will use the forward difference formula:
f
(x)= f(x + h) f(x)
h
.(4)
Below is a table giving the relative error of the approximation for various values of h, when
implemented in Matlab.

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