What is the limit of (x+3)/(x-3)^2 as x approaches 3

Question

lim     __(x-3)__

x->3     (x-3)^2

Answer 1

Hi Jyothi,

 

The limit of (x-3)/(x-3)^2 as x approaches 3 is infinity.  You can simplify the function by dividing by (x-3) in the numerator and denominator then you get 

 

limit as x->3 of 1/(x-3) which goes to infinity.