Practice problem
Which polynomial do you expect will best approximate f(x)=exf(x) = e^xf(x)=ex on the real line?
p1(x)=1+xp_1(x) = 1 + xp1(x)=1+x
p2(x)=1+x+x2/2p_2(x) = 1 + x + x^2/2p2(x)=1+x+x2/2
p3(x)=1+x+x2/2+x3/6p_3(x) = 1 + x + x^2/2 + x^3/6p3(x)=1+x+x2/2+x3/6
p4(x)=1+x+x2/2+x3/6+x4/24p_4(x) = 1 + x + x^2/2 + x^3/6 + x^4/24p4(x)=1+x+x2/2+x3/6+x4/24
Type a concept, like “slope” or “photosynthesis”.
