



 
Hi Norma, As long as x is not equal to a, (x^{2}  a^{2})/(x  a) = (x  a)(x + a)/(x  a) = x + a which is continuous. Thus the only point left to consider is x = a. For g(x) to be continuous you must have You know that g(a) = 6 so you need What is the value of the limit? This give you an equation which you can solve for a. Penny  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 