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Find \( T_{5}(x) \) : Taylor polynomial of degree 5 of the function \( f(x)=\cos (x) \) at \( a=0 ...
Find \( T_{5}(x) \) : Taylor polynomial of degree 5 of the function \( f(x)=\cos (x) \) at \( a=0 \). \[ T_{5}(x)= \] Using the Taylor Remainder Theorem, find all values of \( x \) for which this approximation is within \( 0.00303 \) of the right answer. Assume for simplicity that we limit ourselves to \( |x| \leq 1 \). \[ |x| \leq \]