Estimation and Limits -- Dividing Functions -- Answers

1. We know from our work in the Check Your Understanding section of the module on Multiplying Functions that for the polynmials p(x) and q(x)

     Lim   p(x) = p(a)   and
   x --> a
   
     Lim   q(x) = q(a)
   x --> a
   

   From this section we know that

     Lim   r(x) =   Lim   p(x)/q(x)
   x --> a        x --> a
   
                =   Lim   p(x) /  Lim  q(x)
                  x --> a       x --> a
   
                =  p(a) / q(a)
   
                =  r(a)
   

2. Because one cannot divide by zero.

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