Let f ( x ) := x 2 + 2 x + 1 x 2 + 5 {\displaystyle {}f(x):={\frac {x^{2}+2x+1}{x^{2}+5}}} . Determine a polynomial h {\displaystyle {}h} of degree ≤ 3 {\displaystyle {}\leq 3} , which in the two points x = 0 {\displaystyle {}x=0} and x = − 1 {\displaystyle {}x=-1} has the same linear approximation as f {\displaystyle {}f} .
