Find the linear approximation of f(x)=ln x at x=1 and use it to estimate ln 1.12.

L(x)= ?
ln 1.12 \approx ?

1 answer

f' = 1/x
f'(1) = 1
f(1) = 0
So, you have a point (1,0) and a slope (1), so

y = x-1

now plug in x = 1.12