Find the linear approximation of f(x)=lnx\displaystyle {f{{\left({x}\right)}}}={\ln{{x}}} at x=1\displaystyle {x}={1} and use it to estimate ln(1.32)\displaystyle {\ln{{\left({1.32}\right)}}}.
L(x)=\displaystyle {L}{\left({x}\right)}=  
ln(1.32)\displaystyle {\ln{{\left({1.32}\right)}}}\approx