Proofs and Derivations

Finding 



 

To find


 

we first multiply the numerator and denominator by the conjugate of the numerator to obtain the following
 
 


 

which simplifies to
 
 



 

We then rewrite this as
 
 



 

Note that we have rearranged the factors so that the in the denominator which is going to zero, appears underneath , so that we may use the fact that .
 

We are now able to obtain the result which follows
 
 

.