Answer
$0.0832$
Work Step by Step
$$f_x=\dfrac{1}{x} \\ f_x(1,1)=1^{-1}=1 \\ f_y(x,y) =y^{-1} \\ f_{y}(1,1) =1^{-1}=1 \\f_{xx}(x,y)=-x^{-2} \\ f_{yy}(x,y)=-y^{-2} \\f_{xy}(x,y) =0$$
Error:
$|E(x,y)| \leq \dfrac{1}{2} \times (1.04) [ |x-1| +|y-1|)^2$
or, $$ E \leq \dfrac{1.04}{2} \times (0.2+0.2)^2 =0.0832$$
