Practice problem
What is the quadratic Taylor approximation for the function f(x)=lnxf(x) = \ln xf(x)=lnx around x=1x=1x=1?
−(x−1)2+2(x−1)+1-(x-1)^2 + 2(x-1) + 1−(x−1)2+2(x−1)+1
−0.5(x−1)2+(x−1)+0-0.5(x-1)^2 + (x-1) + 0−0.5(x−1)2+(x−1)+0
−0.5x2+x+0-0.5x^2 + x + 0−0.5x2+x+0
−x2+2x+1-x^2 + 2x + 1−x2+2x+1
Type a concept, like “slope” or “photosynthesis”.