Suppose [tex]x_A=2.653[/tex] is correctly rounded to the number of digits shown. Upper and lower bound the absolute error [tex]f(x_T)-f(x_A)[/tex] and the relative error [tex]\frac{f(x_T)-f(x_A)}{f(x_T)}[/tex] using the mean-value theorem.
1. [tex]f(x)=sin(x)[/tex]
2. [tex]f(x) = ln(x)[/tex]
