#### To determine

**a) $2:** the following limit limx→a[f(x)−p(x)] if possible

#### Answer

The value of the following limit is −∞

#### Explanation

The following limit is obtained by substituting the values of the limits limx→af(x) and limx→ap(x),

limx→a[f(x)−p(x)]=limx→af(x)−limx→ap(x)=0−∞=−∞

**Conclusion:** limx→a[f(x)−p(x)]=−∞