3. Find the third Taylor polynomial in powers of x for the function given below and calculate the value of this polynomial at x=2. Hint. For expanding this function to its Taylor series in powers of x, you may use the following steps: Write f(x) as a sum of simple partial fractions. Expand each partial fraction to Taylor series in powers of x. Obtain the Taylor series in powers of x for f(x) and get the desired value of the polynomial. f(x) = (x² + 8x)/(x³ – 2x² + x – 2). %3D

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