The graph of the function                                                 shown in Figure 1.11, was obtained using MATLAB. It is known that lim x →0 f ( )=1/2. Why does MATLAB claim the value of this...

The graph of the function

shown in Figure 1.11, was obtained using MATLAB. It is known that lim
<sub>x

→0</sub>

f()=1/2. Why does MATLAB claim the value of this limit is zero? Also, why does MATLAB start claiming that the value is zero for
 at about 10⁻⁸